Pith. sign in

Paper Citation Record · LEDGER

A two-patch epidemic model with nonlinear reinfection

As of 6 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 0 inbound Pith citation observations for arXiv:1907.08887.

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

pith.paper-citation-record.v1
1907.08887 v1

Coverage vector

measured 32 of 32 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-24T18:39:19.888358Z

measured 32 of 32 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-06T06:34:29.942622+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

32 of 32 outbound references displayed

  • verified exact1
  • verified fuzzy29
  • unresolved2
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 10ca16c7-8855-489e-9e60-88d45184efa1 · outbound

This paper cites Costa Rica Once Again Un- der Malaria Alert.

A two-patch epidemic model with nonlinear reinfection Costa Rica Once Again Un- der Malaria Alert

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T18:39:50.110930Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-24T18:39:19.888358Z digest=sha256:64b99109612d823183e2f6b8cdf6cebe4d83a07deefbae8b21219c55f955c101

Observation 79e6c3e1-0063-4059-be7a-b36b54eb1a3c · outbound

This paper cites Vector-borne diseases mod- els with residence times — A Lagrangian perspective.

A two-patch epidemic model with nonlinear reinfection Vector-borne diseases mod- els with residence times — A Lagrangian perspective

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T18:39:50.107345Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-24T18:39:19.888358Z digest=sha256:d6adec8d7d3e1cc229eb43f183b2ae0e178713c0117015412987026ce2dabb8f

Observation d858f793-3b5d-43b8-a1cc-60bfcee2f44a · outbound

This paper cites (2012) Mathematical Models in Population Biology and Epidemiology , 2nd edition, Springer-Verlag (Providence, RI, USA).

A two-patch epidemic model with nonlinear reinfection (2012) Mathematical Models in Population Biology and Epidemiology , 2nd edition, Springer-Verlag (Providence, RI, USA)

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T18:39:50.082340Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-24T18:39:19.888358Z digest=sha256:5933d46c1f4f3adcdfd95fedb41356992e00f99b94495fab10ca6d0f1d7e57ac

Observation 515be20f-5869-4db7-96eb-1047d06bf32f · outbound

This paper cites Available from: https://www.cdc.gov/sars/ index.html.

A two-patch epidemic model with nonlinear reinfection Available from: https://www.cdc.gov/sars/ index.html

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T18:39:50.103854Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-24T18:39:19.888358Z digest=sha256:7cf066b6925d0614d66f86ac1929c90108fc8ddb4919547c3118bc80b29782b8

Observation 1e8eb3ec-f635-4154-885f-0369c3a3f082 · outbound

This paper cites an unresolved cited work.

A two-patch epidemic model with nonlinear reinfection Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-05-24T18:39:50.118625Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-24T18:39:19.888358Z digest=sha256:4ee5eade5db3f2a5ca6c2629a660aa9df0bef298147b787eca05fce920212c44

Observation 13cc7d3f-e992-4698-aaf2-6543380bcfc5 · outbound

This paper cites an unresolved cited work.

A two-patch epidemic model with nonlinear reinfection Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-05-24T18:39:50.085558Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-24T18:39:19.888358Z digest=sha256:438471d2497b2f1d49c7d97604940e2b00a31a50699c2869908c704dcce110a2

Observation 8e903c3a-0a00-4472-b947-e387f40b4c47 · outbound

This paper cites Available from: https://www.cdc.gov/measles/index.html.

A two-patch epidemic model with nonlinear reinfection Available from: https://www.cdc.gov/measles/index.html

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T18:39:50.100008Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-24T18:39:19.888358Z digest=sha256:d92c782158cc369771609daaac8921e1faea36e413aea44fe67534d28c4c2ddf

Observation 27d66311-da32-488c-832a-8b0797d20dd7 · outbound

This paper cites Patterns of Movement and Risk of HIV Infection in Rural Zimbabwe.

A two-patch epidemic model with nonlinear reinfection Patterns of Movement and Risk of HIV Infection in Rural Zimbabwe

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T18:39:50.074773Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-24T18:39:19.888358Z digest=sha256:d4b0bdaa1cc461e33358aa4bb1123b3c5a9e4b3d08c42fbb484eede4aaa28883

Observation f24e9523-954f-4b75-a3d3-fd7d098ad06c · outbound

This paper cites SARS outbreaks in Ontario, Hong Kong and Singapore: The role of diagnosis and isolation as a control mechanism.

A two-patch epidemic model with nonlinear reinfection SARS outbreaks in Ontario, Hong Kong and Singapore: The role of diagnosis and isolation as a control mechanism

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T18:39:50.115032Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-24T18:39:19.888358Z digest=sha256:93be23d9dcfda5e85ff1f9aa2cde46b6dbb29bd87490c9d12d2140f6bf883bf2

Observation e0ea1b08-3799-4e61-9ce6-12cb3fa5c521 · outbound

This paper cites Approximation of functions.

A two-patch epidemic model with nonlinear reinfection Approximation of functions

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T18:39:50.089078Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-24T18:39:19.888358Z digest=sha256:384cc132996483e2668cf99174fcc80ff604af8932cf5cb1a56082d47e3523d0

Observation 9dba9b07-a0c8-4a01-a120-df17bd437b2a · outbound

This paper cites Competitive exclusion in a vector–host model for the dengue fever.

A two-patch epidemic model with nonlinear reinfection Competitive exclusion in a vector–host model for the dengue fever

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T18:39:50.061179Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-24T18:39:19.888358Z digest=sha256:1fdd0d1debd0bec713bd86f1cf42ad82bf7ff0f6c0ec28512ee8f73d3a8a6ad3

Observation b183cce9-396e-489a-9de3-cfaabf85c60c · outbound

This paper cites A model for tubercu- losis with exogenous reinfection.

A two-patch epidemic model with nonlinear reinfection A model for tubercu- losis with exogenous reinfection

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T18:39:50.096529Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-24T18:39:19.888358Z digest=sha256:5a7c31d90ef96029cdea0331ef56d3ba2125ac46cba2e1d4d0d4b14a9a73a915

Observation 1059ab1d-aa97-4128-befc-5c248d15d889 · outbound

This paper cites The Poincaré–Miranda theorem and viability con- dition.

A two-patch epidemic model with nonlinear reinfection The Poincaré–Miranda theorem and viability con- dition

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T18:39:50.092525Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-24T18:39:19.888358Z digest=sha256:6865cae7f2dd7ab4d7b02b17205f9884374940034e084cf56aef32af04e02806

Observation e27e6fe4-78c9-4723-a7d8-24b836ab576e · outbound

This paper cites Effects of duration of HIV infection and secondary tuberculosis transmission on tuberculosis incidence in the South African gold mines.

A two-patch epidemic model with nonlinear reinfection Effects of duration of HIV infection and secondary tuberculosis transmission on tuberculosis incidence in the South African gold mines

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T18:39:50.057273Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-24T18:39:19.888358Z digest=sha256:20dc5d9dbec6e3fe261b02baf5d1eae7d84399d54352ed08f9c194989abcaad8

Observation 37b812fd-5c1a-4047-9911-bd828edb8cf9 · outbound

This paper cites Antibody-Independent Immunity to Reinfection Malaria in B-Cell-Deficient Mice.

A two-patch epidemic model with nonlinear reinfection Antibody-Independent Immunity to Reinfection Malaria in B-Cell-Deficient Mice

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T18:39:50.065387Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-24T18:39:19.888358Z digest=sha256:d5dc9c808885b079483874dd4f86b4a7517add13fb15c70b2dbc333400ef978c

Observation de01145d-c4ea-4076-81a7-f4df762662a2 · outbound

This paper cites Examining multi-level relationships between bars, hostility and aggression: social selection and social influence.

A two-patch epidemic model with nonlinear reinfection Examining multi-level relationships between bars, hostility and aggression: social selection and social influence

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T18:39:50.078254Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-24T18:39:19.888358Z digest=sha256:8d3e36acb2260c3167728d5fcfae83f1625314ca1f0636ef66e3d667f9843bf2

Observation 4359ca1b-c4b0-4131-bfe8-6735c8a47d0a · outbound

This paper cites The Poincaré–Miranda theorem.

A two-patch epidemic model with nonlinear reinfection The Poincaré–Miranda theorem

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T18:39:50.044483Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-24T18:39:19.888358Z digest=sha256:3b0d5c17f0d757a91a96b21aaaf690a8e4f367982cf8cb112f19748d1357b204

Observation 3d673b0e-db8a-4b07-a11b-9d11040b92f6 · outbound

This paper cites The role of residence times in two- patch dengue transmission dynamics and optimal strategies.

A two-patch epidemic model with nonlinear reinfection The role of residence times in two- patch dengue transmission dynamics and optimal strategies

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T18:39:50.138055Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-24T18:39:19.888358Z digest=sha256:b69f9df7abedb2d39b9c078daa86c29d9f730ec271b36b0cd025bb4a469a8af6

Observation fed61aa6-5454-4dad-8f88-c6ab8ad48927 · outbound

This paper cites Comparing dengue and chikungunya emergence and endemic transmis- sion in A. aegypti and A. albopictus.

A two-patch epidemic model with nonlinear reinfection Comparing dengue and chikungunya emergence and endemic transmis- sion in A. aegypti and A. albopictus

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T18:39:50.141835Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-24T18:39:19.888358Z digest=sha256:70c28199b1a3c697c4448a384d8d78a658da25828097dc0e74c5d99645052b7e

Observation d0dc4a52-1a1b-4e1b-8e1b-0269a7dfa7c9 · outbound

This paper cites Malaria on the move: Human population movement and malaria transmission.

A two-patch epidemic model with nonlinear reinfection Malaria on the move: Human population movement and malaria transmission

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T18:39:50.133909Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-24T18:39:19.888358Z digest=sha256:5f84b2fe2c603b5e6fba62ac8c75ac3643c845ec477471437d0cd18f721243ae

Observation 2c6f1ffd-0c84-4d99-8b69-54cf56b3ab77 · outbound

This paper cites Vertical transmission in a two-strain model of dengue fever.

A two-patch epidemic model with nonlinear reinfection Vertical transmission in a two-strain model of dengue fever

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T18:39:50.039294Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-24T18:39:19.888358Z digest=sha256:cf023a2b7ce062a1ab84b1ce06edfbf541a742b2ddb72c606196f359beb136a5

Observation 1242b558-73c9-4f7d-9ea8-e324d8031192 · outbound

This paper cites (1996) Medical Microbiology, 4th edition.

A two-patch epidemic model with nonlinear reinfection (1996) Medical Microbiology, 4th edition

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T18:39:50.049013Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-24T18:39:19.888358Z digest=sha256:8c37d9dedff19591f9e6f387ad53711a71a820d68b01435678e301906a885c7d

Observation 04a04752-dbd0-42d9-b970-80e3a5860411 · outbound

This paper cites Epidemic processes in complex networks.

A two-patch epidemic model with nonlinear reinfection Epidemic processes in complex networks

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T18:39:50.129998Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-24T18:39:19.888358Z digest=sha256:b4dc099d70596e2ab9aae2b6d991405d580a8595a6fb7b0159ae0d3825b6edc0

Observation cb6e7943-5d34-443e-9f20-01c087a72d0f · outbound

This paper cites The role of vaccination in the control of SARS.

A two-patch epidemic model with nonlinear reinfection The role of vaccination in the control of SARS

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T18:39:50.126393Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-24T18:39:19.888358Z digest=sha256:84c244f47ab3d27c15c6658b2748487964a21dbf886a4cbf11657bcd1da34afe

Observation 597f397f-eb57-442f-98ce-0b4d53920671 · outbound

This paper cites Drinking as an epidemic — A simple mathematical model with recovery and relapse.

A two-patch epidemic model with nonlinear reinfection Drinking as an epidemic — A simple mathematical model with recovery and relapse

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T18:39:50.031347Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-24T18:39:19.888358Z digest=sha256:622728186961eeeef192ed00c942562653342838c998c1bc8f4a1e1cfbfd49e8

Observation 5a31fff5-3cad-4175-bd28-5d47a24f69ce · outbound

This paper cites Change in host be- havior and its impact on the transmission dynamics of dengue.

A two-patch epidemic model with nonlinear reinfection Change in host be- havior and its impact on the transmission dynamics of dengue

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T18:39:50.122424Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-24T18:39:19.888358Z digest=sha256:d7c764b63799f8195c597433c7f93a1ee02d10be1751560873ee62647d42c741

Observation d401952c-bda2-4157-b517-f1a1b6cd317c · outbound

This paper cites A Partial Differential Equation Model with Age-Structure and Nonlinear Recidivism: Conditions for a Backward Bifurcation and a General Numerical Implementation.

A two-patch epidemic model with nonlinear reinfection A Partial Differential Equation Model with Age-Structure and Nonlinear Recidivism: Conditions for a Backward Bifurcation and a General Numerical Implementation

Reference 27

Resolution
verified exact
arxiv_id, observed 2026-05-24T18:39:48.938751Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-24T18:39:19.888358Z digest=sha256:bdd855b0f58adfe03c1c7118c9935b20ba6c4fbf8a27b877ce40948a41e5b200

Observation fc176b8b-8b4a-4d89-aa7d-bb6ada046039 · outbound

This paper cites Raves, clubs and ecstasy: The impact of peer pressure.

A two-patch epidemic model with nonlinear reinfection Raves, clubs and ecstasy: The impact of peer pressure

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T18:39:50.027051Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-24T18:39:19.888358Z digest=sha256:6dc848be4907037db82a76783e8cb55d2965ff07b5de8d528c0944369b8f921e

Observation 909eeda7-7c4f-4429-b4ab-68969c54a646 · outbound

This paper cites Different types of backward bifurcations due to density-dependent treatments.

A two-patch epidemic model with nonlinear reinfection Different types of backward bifurcations due to density-dependent treatments

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T18:39:50.035048Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-24T18:39:19.888358Z digest=sha256:deec93dca60cc4ae76be597dac834ba83a280de7f474afdec12b80d8369dd903

Observation c973eb6b-5bbc-42fe-825f-52aedd9f482d · outbound

This paper cites Models for Dengue transmission and control.

A two-patch epidemic model with nonlinear reinfection Models for Dengue transmission and control

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T18:39:50.053289Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-24T18:39:19.888358Z digest=sha256:ac5b03ba7248c15e0c5a06ca4d175a0800c5f6fc409392a20127c745e3d104aa

Observation 837d8477-d033-4704-9cb1-0185499a8b85 · outbound

This paper cites On a generalization of the Miranda Theorem and its application to boundary value problems.

A two-patch epidemic model with nonlinear reinfection On a generalization of the Miranda Theorem and its application to boundary value problems

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T18:39:50.069539Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-24T18:39:19.888358Z digest=sha256:eda167330920c74a90915f271e1f6ed72ed25214eab99f2cca7931501f4800c2

Observation cae6ddf6-7613-4c9e-b397-9b82e8664ef1 · outbound

This paper cites The Bolzano–Poicaré–Miranda theorem — Discrete version.

A two-patch epidemic model with nonlinear reinfection The Bolzano–Poicaré–Miranda theorem — Discrete version

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T18:39:50.022901Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-24T18:39:19.888358Z digest=sha256:2b28984e567975d7bb701c6d73db06e921c6df218da08c0888b1e6b9a56e16a2

Pith citing papers

No inbound Pith citation observations are available.