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Paper Citation Record · LEDGER

The Boundary Reproduction Number for Determining Boundary Steady State Stability in Chemical Reaction Systems

As of 8 August 2026, this Paper Citation Record lists 58 of 58 outbound references and 0 inbound Pith citation observations for arXiv:2506.01606.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2506.01606 v1

Coverage vector

measured 58 of 58 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T11:49:14.927241Z

measured 58 of 58 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

58 of 58 outbound references displayed

  • verified exact1
  • verified fuzzy36
  • unresolved20
  • parse uncertain0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 755ab215-1773-4d09-afa0-ff71c078ba9a · outbound

This paper cites an unresolved cited work.

The Boundary Reproduction Number for Determining Boundary Steady State Stability in Chemical Reaction Systems Unresolved cited work

Reference 1

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation b883468d-69bd-4898-8562-9dca3bf5a7d3 · outbound

This paper cites an unresolved cited work.

The Boundary Reproduction Number for Determining Boundary Steady State Stability in Chemical Reaction Systems Unresolved cited work

Reference 2

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 1b2f85f2-9366-4284-bdd9-e8120213d6f9 · outbound

This paper cites an unresolved cited work.

The Boundary Reproduction Number for Determining Boundary Steady State Stability in Chemical Reaction Systems Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:49:28.441548Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 8c5af47e-30af-42af-b550-1a7da7b87f92 · outbound

This paper cites an unresolved cited work.

The Boundary Reproduction Number for Determining Boundary Steady State Stability in Chemical Reaction Systems Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:49:28.066047Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation b4837b12-6855-4ee9-8b9d-0a1b909189ce · outbound

This paper cites On persistence and cascade decompositions of chemical reaction networks.

The Boundary Reproduction Number for Determining Boundary Steady State Stability in Chemical Reaction Systems On persistence and cascade decompositions of chemical reaction networks

Reference 5

Resolution
verified exact
local_arxiv, observed 2026-08-07T11:49:15.046651Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation cf094903-e656-4f81-8d2a-d25281ad52de · outbound

This paper cites Angeli, P.

The Boundary Reproduction Number for Determining Boundary Steady State Stability in Chemical Reaction Systems Angeli, P

Reference 6

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 8c599109-e635-4ccc-8296-2ecf04de8986 · outbound

This paper cites Angeli, P.

The Boundary Reproduction Number for Determining Boundary Steady State Stability in Chemical Reaction Systems Angeli, P

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:49:27.599814Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 62117dec-d755-4e7e-9c21-b4e84dfb2af6 · outbound

This paper cites Angeli and E.

The Boundary Reproduction Number for Determining Boundary Steady State Stability in Chemical Reaction Systems Angeli and E

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:49:27.469689Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 97b9bee8-8987-4de4-8a48-15a08bb17d6e · outbound

This paper cites August and M.

The Boundary Reproduction Number for Determining Boundary Steady State Stability in Chemical Reaction Systems August and M

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:49:27.344295Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 2b1c375d-7fc7-4796-a61a-2742f84652b2 · outbound

This paper cites Avram, R.

The Boundary Reproduction Number for Determining Boundary Steady State Stability in Chemical Reaction Systems Avram, R

Reference 10

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 7196c8a0-9fd9-4316-912f-b4be29b48d8d · outbound

This paper cites Stability in Reaction Network Models via an Extension of the Next Generation Matrix Method.

The Boundary Reproduction Number for Determining Boundary Steady State Stability in Chemical Reaction Systems Stability in Reaction Network Models via an Extension of the Next Generation Matrix Method

Reference 11

Resolution
unresolved
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 0744b729-866a-47c0-8210-b5fe1d7eb865 · outbound

This paper cites Berman and R.

The Boundary Reproduction Number for Determining Boundary Steady State Stability in Chemical Reaction Systems Berman and R

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:49:27.044758Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation cd5e2c62-7a8c-4a15-a781-4e6acd637bcb · outbound

This paper cites an unresolved cited work.

The Boundary Reproduction Number for Determining Boundary Steady State Stability in Chemical Reaction Systems Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:49:26.872951Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation c31223f7-cbd0-45d7-81a5-b0af3263069e · outbound

This paper cites Chavez,Observer design for a class of nonlinear systems, with applications to chemical and biological networks, Ph.D.

The Boundary Reproduction Number for Determining Boundary Steady State Stability in Chemical Reaction Systems Chavez,Observer design for a class of nonlinear systems, with applications to chemical and biological networks, Ph.D

Reference 14

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 94111cea-c0a3-4657-8407-aab24b66bdee · outbound

This paper cites Craciun,Polynomial dynamical systems, reaction networks, and toric differential inclusions, SIAM J.

The Boundary Reproduction Number for Determining Boundary Steady State Stability in Chemical Reaction Systems Craciun,Polynomial dynamical systems, reaction networks, and toric differential inclusions, SIAM J

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:49:26.569314Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 610da7ba-edae-43dc-bdd0-cdc6922c37cd · outbound

This paper cites Craciun and A.

The Boundary Reproduction Number for Determining Boundary Steady State Stability in Chemical Reaction Systems Craciun and A

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:49:26.311564Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation b46dbe57-92d0-4fd4-88a4-92b3b7efac64 · outbound

This paper cites Craciun, F.

The Boundary Reproduction Number for Determining Boundary Steady State Stability in Chemical Reaction Systems Craciun, F

Reference 17

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation f9d2eeab-7d11-4984-a6c5-da6c26ae6afa · outbound

This paper cites On the steady states of weakly reversible chemical reaction networks.

The Boundary Reproduction Number for Determining Boundary Steady State Stability in Chemical Reaction Systems On the steady states of weakly reversible chemical reaction networks

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-07T11:49:10.104650Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 994f96a9-a785-4b64-9e7d-a8ac78f4a66c · outbound

This paper cites Diekmann, J.

The Boundary Reproduction Number for Determining Boundary Steady State Stability in Chemical Reaction Systems Diekmann, J

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:49:25.886699Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 47bcdfd8-af56-4633-b749-6a14b01a2590 · outbound

This paper cites Donnell, M.

The Boundary Reproduction Number for Determining Boundary Steady State Stability in Chemical Reaction Systems Donnell, M

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:49:25.583117Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 00a82ed8-eaa4-4402-a687-2a793d216593 · outbound

This paper cites Ehrhardt, J.

The Boundary Reproduction Number for Determining Boundary Steady State Stability in Chemical Reaction Systems Ehrhardt, J

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:49:25.313967Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation fd816132-5b56-48bf-a4de-56eb5768f1d9 · outbound

This paper cites Feinberg,On chemical kinetics of a certain class, Arch.

The Boundary Reproduction Number for Determining Boundary Steady State Stability in Chemical Reaction Systems Feinberg,On chemical kinetics of a certain class, Arch

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:49:24.964792Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation ea6bb9a3-8982-4679-b840-2b8041565baf · outbound

This paper cites Feinberg,Foundations of chemical reaction network theory, 2019.

The Boundary Reproduction Number for Determining Boundary Steady State Stability in Chemical Reaction Systems Feinberg,Foundations of chemical reaction network theory, 2019

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:49:24.755967Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 1543a550-c1fd-4a3f-ae1c-46e155a44027 · outbound

This paper cites Feng and J.

The Boundary Reproduction Number for Determining Boundary Steady State Stability in Chemical Reaction Systems Feng and J

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:49:24.438828Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 3aae7b1c-444b-43ae-a303-231eb50ba994 · outbound

This paper cites Gopalkrishnan, E.

The Boundary Reproduction Number for Determining Boundary Steady State Stability in Chemical Reaction Systems Gopalkrishnan, E

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:49:24.145676Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 6f05f95f-5655-41f6-9416-76da8e36450d · outbound

This paper cites an unresolved cited work.

The Boundary Reproduction Number for Determining Boundary Steady State Stability in Chemical Reaction Systems Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:49:23.940785Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 21b71651-559d-4edb-bca8-5335c21fe5af · outbound

This paper cites Horn,Necessary and sufficient conditions for complex balancing in chemical kinetics, Arch.

The Boundary Reproduction Number for Determining Boundary Steady State Stability in Chemical Reaction Systems Horn,Necessary and sufficient conditions for complex balancing in chemical kinetics, Arch

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:49:23.653563Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 6786e58d-823a-43f7-b97a-fa2688a363d6 · outbound

This paper cites Horn and R.

The Boundary Reproduction Number for Determining Boundary Steady State Stability in Chemical Reaction Systems Horn and R

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:49:23.418796Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 5c0a0715-b2bb-4314-b551-fceba1a6a84f · outbound

This paper cites Hurwitz,Ueber die bedingungen, unter welchen eine gleichung nur wurzeln mit negativen reellen theilen besitzt, Math.

The Boundary Reproduction Number for Determining Boundary Steady State Stability in Chemical Reaction Systems Hurwitz,Ueber die bedingungen, unter welchen eine gleichung nur wurzeln mit negativen reellen theilen besitzt, Math

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:49:23.130259Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 42774c69-61d5-44e3-b1bf-0362ced92021 · outbound

This paper cites an unresolved cited work.

The Boundary Reproduction Number for Determining Boundary Steady State Stability in Chemical Reaction Systems Unresolved cited work

Reference 30

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:49:22.844695Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation d20448b5-92c4-4f25-a815-a5d7514baf41 · outbound

This paper cites an unresolved cited work.

The Boundary Reproduction Number for Determining Boundary Steady State Stability in Chemical Reaction Systems Unresolved cited work

Reference 31

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:49:22.538275Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:49:11.763500Z digest=sha256:781ba3734e712d5c4399285bd48f72c3af4a2a16e5cd3ffcfb4f1117dc16e23d

Observation 1272d5a9-d0f4-41bd-98e0-30ca5c1c20d7 · outbound

This paper cites an unresolved cited work.

The Boundary Reproduction Number for Determining Boundary Steady State Stability in Chemical Reaction Systems Unresolved cited work

Reference 32

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:49:22.234759Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:49:11.871352Z digest=sha256:e5b427b77147f6996b0eacc4722869a255944151ab096a345ffa8fdfaee02b19

Observation 245ebc41-f7d4-48ef-86df-d850a38d4049 · outbound

This paper cites an unresolved cited work.

The Boundary Reproduction Number for Determining Boundary Steady State Stability in Chemical Reaction Systems Unresolved cited work

Reference 33

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:49:21.944333Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:49:11.976148Z digest=sha256:7178f140dd05f31f78743818882881f659e95dc54344aa500e3014e38ff34300

Observation e24a4650-88c4-4c18-ab58-feebf7deb822 · outbound

This paper cites an unresolved cited work.

The Boundary Reproduction Number for Determining Boundary Steady State Stability in Chemical Reaction Systems Unresolved cited work

Reference 34

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:49:21.723848Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:49:12.091750Z digest=sha256:32f14cd0d96d70140299ad2326fe562bcfce22f2744b910919f10dfe58e7fe62

Observation 224b5d12-b7f1-4968-913c-896d575dccce · outbound

This paper cites Lazebnik and S.

The Boundary Reproduction Number for Determining Boundary Steady State Stability in Chemical Reaction Systems Lazebnik and S

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:49:21.503720Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:49:12.216182Z digest=sha256:ec898808cbd645414331c41dac9654deb3806d3332b25b54e285f34f2d77141b

Observation 5372da9a-62a8-494d-b77a-fb4c486cf030 · outbound

This paper cites De Leenheer, D.

The Boundary Reproduction Number for Determining Boundary Steady State Stability in Chemical Reaction Systems De Leenheer, D

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:49:21.246129Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:49:12.339545Z digest=sha256:27bad7077c2d891db3a9af1e5093db1638c120df54d13142e1043f67c8b0abd7

Observation c90dc308-8b83-45fe-8017-40f67aa1a3b4 · outbound

This paper cites Liu and K.

The Boundary Reproduction Number for Determining Boundary Steady State Stability in Chemical Reaction Systems Liu and K

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:49:20.970775Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:49:12.458047Z digest=sha256:29708a51c2f475453021847188582e21bbfe20b5dc83acd2190a66754520299a

Observation 53c413a6-4298-40ea-9ce1-2d4804af4207 · outbound

This paper cites Martcheva,On the mechanism of strain replacement in epidemic models with vaccination, Math- ematical Approaches for Emerging and Reemerging Infectious Diseases (C.

The Boundary Reproduction Number for Determining Boundary Steady State Stability in Chemical Reaction Systems Martcheva,On the mechanism of strain replacement in epidemic models with vaccination, Math- ematical Approaches for Emerging and Reemerging Infectious Diseases (C

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:49:20.802845Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:49:12.579365Z digest=sha256:c0b41bd001570848fb808068a52e1ae42fe7a920261ffbec1b948d3c1e6a1bff

Observation 9b2b2903-a8cc-4a67-adaa-129d274c7cc5 · outbound

This paper cites Martcheva,An introduction to mathematical epidemiology, Texts Appl.

The Boundary Reproduction Number for Determining Boundary Steady State Stability in Chemical Reaction Systems Martcheva,An introduction to mathematical epidemiology, Texts Appl

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:49:20.519040Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:49:12.715354Z digest=sha256:fd1d88b0cc87e8d0d72ee18dc33d0e2f89ef634b0fc30f57eeaff0627e0f13d0

Observation d76f7425-bad0-4162-bc2a-5cdea781b1eb · outbound

This paper cites Martcheva, B.

The Boundary Reproduction Number for Determining Boundary Steady State Stability in Chemical Reaction Systems Martcheva, B

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:49:20.266912Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:49:12.802438Z digest=sha256:0381cbc163ffb060bb0028b4f401c780d9d68d61ddbd653bb06e031bc6bc3ca5

Observation 002526e7-23c7-4bef-9ea2-f488778a660b · outbound

This paper cites an unresolved cited work.

The Boundary Reproduction Number for Determining Boundary Steady State Stability in Chemical Reaction Systems Unresolved cited work

Reference 41

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:49:19.839819Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:49:12.975704Z digest=sha256:a9ae94450771d323e87bf682d1e87ace0eb26dcb3b2998384f2d525a49bf5be3

Observation 45d1c67b-5170-42b7-bbdb-f99014fe2509 · outbound

This paper cites an unresolved cited work.

The Boundary Reproduction Number for Determining Boundary Steady State Stability in Chemical Reaction Systems Unresolved cited work

Reference 42

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:49:19.572758Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:49:13.064213Z digest=sha256:266494f3413df8cb94e01173b36d93cee0558ebf39005d15661bc58d85c3841a

Observation 73b3a294-6b09-4485-97fc-872f5dfbd801 · outbound

This paper cites an unresolved cited work.

The Boundary Reproduction Number for Determining Boundary Steady State Stability in Chemical Reaction Systems Unresolved cited work

Reference 43

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:49:19.277968Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:49:13.173721Z digest=sha256:457f3d264c1de44fd0a1dd488adc766a8604f778e15941b19158739931596233

Observation 11d995d1-21c5-4211-a48a-bc90909b1a7e · outbound

This paper cites an unresolved cited work.

The Boundary Reproduction Number for Determining Boundary Steady State Stability in Chemical Reaction Systems Unresolved cited work

Reference 44

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:49:18.920817Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:49:13.321418Z digest=sha256:667d36a5790c729904cf8a609ff840277f815d65b5dd1d53af419dac76665fbb

Observation a808a859-1924-4b73-8270-97bef66a1498 · outbound

This paper cites an unresolved cited work.

The Boundary Reproduction Number for Determining Boundary Steady State Stability in Chemical Reaction Systems Unresolved cited work

Reference 45

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:49:18.744818Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:49:13.417987Z digest=sha256:fcb80e19fa785df841129103ac6ce987fb975feae675e687c771b0d7be1a9e3e

Observation d0e775eb-e663-41a3-a3a9-fcee7fe3c0da · outbound

This paper cites Seneta,Non-negative matrices and Markov chains, Springer Sci.

The Boundary Reproduction Number for Determining Boundary Steady State Stability in Chemical Reaction Systems Seneta,Non-negative matrices and Markov chains, Springer Sci

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:49:18.470631Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:49:13.516308Z digest=sha256:97d2fe4be76d7c7c334c847ebede653ceacba3dbc8aa1a243764907e88c8e69f

Observation 0b89fcc1-cc04-4ee0-b000-d5119e6fe4a1 · outbound

This paper cites Shinar and M.

The Boundary Reproduction Number for Determining Boundary Steady State Stability in Chemical Reaction Systems Shinar and M

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:49:18.175812Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:49:13.560995Z digest=sha256:fbaa5ed095e94d5d70f7dbcc02fe5890b7cfcf2390952ff60464f183e9d16a88

Observation 170c15b3-3b39-4063-896c-0daaaf5535ea · outbound

This paper cites Shiu and B.

The Boundary Reproduction Number for Determining Boundary Steady State Stability in Chemical Reaction Systems Shiu and B

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:49:17.936712Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:49:13.668301Z digest=sha256:08f80b23a773a7922cadb1b8c1da466e869001facaa6bb84d3a64f48b5cd44cd

Observation 17b2130b-b4ed-40c2-babd-4c04afb33ae0 · outbound

This paper cites Van den Bosch and M.

The Boundary Reproduction Number for Determining Boundary Steady State Stability in Chemical Reaction Systems Van den Bosch and M

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:49:17.575433Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:49:13.719869Z digest=sha256:808f7176ecb338c113cfb240b3957eb9036ba6ae2c5102a0ff9849f7b4f7f6fb

Observation 17c8f5ed-3a29-4498-af52-ab58ba9f9a07 · outbound

This paper cites van den Driessche and J.

The Boundary Reproduction Number for Determining Boundary Steady State Stability in Chemical Reaction Systems van den Driessche and J

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:49:17.218933Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:49:13.809010Z digest=sha256:0c3a408bdc344bb4b40a1f42c012f1b3d211203fbddd4077ce79b451daa67520

Observation b039a933-d7d7-4349-bb5e-b250248f2532 · outbound

This paper cites Van den Driessche and J.

The Boundary Reproduction Number for Determining Boundary Steady State Stability in Chemical Reaction Systems Van den Driessche and J

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:49:16.837762Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:49:13.943021Z digest=sha256:0727295ff02c90b755f3617b58fe8c2082ab2adf0153a7d06a3e21200038d1de

Observation 246641e6-67c5-402b-8a92-e4b832f767fe · outbound

This paper cites Van den Driessche,Reproduction numbers of infectious disease models, Infect.

The Boundary Reproduction Number for Determining Boundary Steady State Stability in Chemical Reaction Systems Van den Driessche,Reproduction numbers of infectious disease models, Infect

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:49:16.593318Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:49:14.054758Z digest=sha256:7ddac7471942c8a352d72de2cd74ff97588205fc1b31e1641f6ff62b7aa88b5f

Observation d5a13778-eb74-4b8b-b0e4-a1c44db515e0 · outbound

This paper cites an unresolved cited work.

The Boundary Reproduction Number for Determining Boundary Steady State Stability in Chemical Reaction Systems Unresolved cited work

Reference 53

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:49:16.351790Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:49:14.169971Z digest=sha256:336b5df47a6fdd70ad6abd0a2c0cfddf5fe50f6d89ad3c8ffb210d464285e9c8

Observation e977f3b3-92a7-4b6e-b179-4659a7555727 · outbound

This paper cites Wang and E.

The Boundary Reproduction Number for Determining Boundary Steady State Stability in Chemical Reaction Systems Wang and E

Reference 54

Resolution
malformed identifier
raw_fallback, observed 2026-08-07T11:49:16.120084Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:49:14.314806Z digest=sha256:ddf9600ea0626bb03d0fa640b7b06afde91ea2eeaa166309e74931e36c805c22

Observation f89859d2-ea02-4b5c-a905-54c33dde0190 · outbound

This paper cites The set ofrecurrent statesis denotedR⊆S.

The Boundary Reproduction Number for Determining Boundary Steady State Stability in Chemical Reaction Systems The set ofrecurrent statesis denotedR⊆S

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:49:15.849634Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:49:14.456346Z digest=sha256:c7169f2684ac34700924e4f2835de51033f1903f65da18a63f430b7d8a36db36

Observation 9b32ff25-5b44-4af1-aca4-3e0f9facbd3e · outbound

This paper cites The set oftransient statesis denotedT⊆S.

The Boundary Reproduction Number for Determining Boundary Steady State Stability in Chemical Reaction Systems The set oftransient statesis denotedT⊆S

Reference 56

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:49:15.631423Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:49:14.653798Z digest=sha256:68efd7a5c23c8270b342f6dffc7b7848533d6e7b6794f3ec56def0fbfd161ce8

Observation 780c72ed-4821-416f-82a8-b8799413e61b · outbound

This paper cites an unresolved cited work.

The Boundary Reproduction Number for Determining Boundary Steady State Stability in Chemical Reaction Systems Unresolved cited work

Reference 57

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:49:15.391606Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:49:14.859631Z digest=sha256:671e3ebf89da5efb289a7c6181deec5decc7cb0999454e83a08c883a6e7d0f16

Observation dac7576c-beff-4f41-b8b5-ed43512e9518 · outbound

This paper cites dwell time.

The Boundary Reproduction Number for Determining Boundary Steady State Stability in Chemical Reaction Systems dwell time

Reference 58

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:49:15.234295Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:49:14.927241Z digest=sha256:18dccd64e7bde59c1bff5f096194310c0706cb7549216650726c7b76c084065e

Pith citing papers

No inbound Pith citation observations are available.