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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 2026-08-08T06:32:00.761636+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

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  • 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 2026-08-08T06:32:00.761636+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
raw_fallback, observed 2026-08-07T11:49:28.704054Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+00:00.

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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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:49:11.871352Z digest=sha256:438e1c61c73d09f5328a11a1381b66e19d63a32ab16a7573b6acf98d7c27e65f

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 2026-08-08T06:32:00.761636+00:00.

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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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:49:12.091750Z digest=sha256:bd4b7531c9dc82ae2e27410a55965a670d38bb80328891c7aeaf0e4f68c67ac3

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:49:12.216182Z digest=sha256:95e4c0391ee0d2d8d9dd1f90de7660057845fa3825f43342dcb37e8e43548666

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:49:12.339545Z digest=sha256:2b71e278a9a15c978062b15094ed6ad9bf06e163703abc797886fb7c1b85c791

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:49:12.458047Z digest=sha256:a79807858f7deef4bce80f5a9e6c6f41aca03d1880e668bf2668dfca1e0fd4c5

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:49:12.579365Z digest=sha256:3b53c17e9cf8991741576928ed2af811f02a82353d712f09762adfabb05b83e1

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:49:12.715354Z digest=sha256:f6e35a81fc875b6ac870568386f77903bd67ff7ac557545926d27f13e107c931

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:49:12.802438Z digest=sha256:babf9a8b4a9290ee278a7e6bb6e0e8dbc4da31dd14ed60d339447eec0759c366

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:49:12.975704Z digest=sha256:77474fb8eed6b0adb7af962531c13e453434e8ac9a30de5277d28fe8cd1d3f08

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:49:13.064213Z digest=sha256:5cfe3711582063ef130fdda03018325f71a8de982928d39df0093c7c0094d0e9

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:49:13.173721Z digest=sha256:081d1b2ee980747d22d2f63bbba50b6ec699fd522ab279568a9f794ab1347772

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:49:13.321418Z digest=sha256:b65563c5f66207b422dc1f3896bd0478c6394e59e09e40372d49a223a7c5c6bb

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:49:13.417987Z digest=sha256:8ebdd4cb73edcf13620c2feb6d4fc19b5002a4e42dd368f53411f8c0f2ed31dd

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:49:13.516308Z digest=sha256:decbb51455861c19aed96430669cd1f6ca046dc9dc12d2b45b0eb9875d4d503a

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:49:13.560995Z digest=sha256:14d53375579338eec69fb1a92932a159adffb23dc6de76f77a08aa328bb2f981

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:49:13.668301Z digest=sha256:4cb93852a9587c3ba11e20db7bdc33467450f743ab9cdb313794d2d6afd64b92

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:49:13.719869Z digest=sha256:c6bb906584b5d7efa2ab25632c45cedac73346d618d958e366cb74eed1629cb5

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:49:13.809010Z digest=sha256:d359796d42e47cda6ce8e03451023a5242f1a9b58233f6a5add128b471e1b089

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:49:13.943021Z digest=sha256:310ccf82ef8da69d6842979e2084057db301fe453cd26078ab134a9a1363665b

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:49:14.054758Z digest=sha256:5c8114192a0d0d9660cdad04bcda3ac7014a7fffec1fa4fe519655558fe81f4d

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:49:14.169971Z digest=sha256:5b1ffe52fdbdd532d9b940644bf409ea051a8e3b795662ca69e61fd9fdd714b5

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:49:14.314806Z digest=sha256:8480a0e0447f5767d0669fd23f10c589fc63f1a470dfc3d8e05b84607687a547

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:49:14.456346Z digest=sha256:432dd3ad26b67b663a53f8ecf25d36a3b6fb14a689163d83313883491a2c7734

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:49:14.653798Z digest=sha256:57691b1f954f8276f4198e8344ad2fc47f349d587fda87a266da7e4ac6621963

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:49:14.859631Z digest=sha256:68623c11cfa40b2921c15b84bf1ce55cc27f55568baf4857aa32b3befdc79f86

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:49:14.927241Z digest=sha256:e6fae55414dc9b6d6089b79263d5065b6df69607665bf1aea11ea231bfd26748

Pith citing papers

No inbound Pith citation observations are available.