Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-05-23T20:39:03.098937Z
Paper Citation Record · LEDGER
Global and Distributed Reproduction Numbers of a Multilayer SIR Model with an Infrastructure Network
As of 8 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 0 inbound Pith citation observations for arXiv:2409.08430.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
20 of 20 outbound references displayed
- verified exact0
- verified fuzzy19
- unresolved1
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation e1a0d0f6-e8ad-45f9-9341-b075ef23610d · outbound
This paper cites The mathematics of infectious diseases.
Global and Distributed Reproduction Numbers of a Multilayer SIR Model with an Infrastructure Network The mathematics of infectious diseases
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-24T03:25:59.698599Z
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.
Observation d50c5c28-4fe6-4984-867a-5bdee7c5ef0f · outbound
This paper cites Modeling, estimat ion, and analysis of epidemics over networks: An overview.
Global and Distributed Reproduction Numbers of a Multilayer SIR Model with an Infrastructure Network Modeling, estimat ion, and analysis of epidemics over networks: An overview
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-24T03:25:59.720064Z
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.
Observation abc3acc6-e166-4d02-929c-7be0c1118e33 · outbound
This paper cites On the d ynamics of deterministic epidemic propagation over networks.
Global and Distributed Reproduction Numbers of a Multilayer SIR Model with an Infrastructure Network On the d ynamics of deterministic epidemic propagation over networks
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-24T03:25:59.675215Z
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.
Observation 1a147c10-5f85-40c0-80d1-b8f40a5fa56f · outbound
This paper cites SARS-CoV-2 RNA in wastewater anticipated COVID-19 occurrence in a low prevalence area.
Global and Distributed Reproduction Numbers of a Multilayer SIR Model with an Infrastructure Network SARS-CoV-2 RNA in wastewater anticipated COVID-19 occurrence in a low prevalence area
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-24T03:25:59.742507Z
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.
Observation 5e3d33da-dce1-4621-a101-6f2697f84219 · outbound
This paper cites Ad vancing waterborne pathogen modelling: Lessons from global nutrie nt export models.
Global and Distributed Reproduction Numbers of a Multilayer SIR Model with an Infrastructure Network Ad vancing waterborne pathogen modelling: Lessons from global nutrie nt export models
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-24T03:25:59.682786Z
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.
Observation 1fd8509b-32e8-4713-a5c9-441c5636013b · outbound
This paper cites Capturing the effects of transportation on the spread of CO VID- 19 with a multi-networked SEIR model.
Global and Distributed Reproduction Numbers of a Multilayer SIR Model with an Infrastructure Network Capturing the effects of transportation on the spread of CO VID- 19 with a multi-networked SEIR model
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-24T03:25:59.723905Z
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.
Observation b195f607-325c-4e92-8659-cf88d5276f45 · outbound
This paper cites Infection prevention in a connected wo rld: The case for a regional approach.
Global and Distributed Reproduction Numbers of a Multilayer SIR Model with an Infrastructure Network Infection prevention in a connected wo rld: The case for a regional approach
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-24T03:25:59.712401Z
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.
Observation c60735e7-b060-4b99-810f-5345df243675 · outbound
This paper cites Multiple transmission pathw ays and disease dynamics in a waterborne pathogen model.
Global and Distributed Reproduction Numbers of a Multilayer SIR Model with an Infrastructure Network Multiple transmission pathw ays and disease dynamics in a waterborne pathogen model
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-24T03:25:59.709122Z
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.
Observation d2489065-6c99-4604-9e3f-244ac8d554e9 · outbound
This paper cites Global dynamics of cho lera models with differential infectivity.
Global and Distributed Reproduction Numbers of a Multilayer SIR Model with an Infrastructure Network Global dynamics of cho lera models with differential infectivity
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-24T03:25:59.731456Z
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.
Observation deaf4ed4-b328-4a31-8790-4a73190b94c3 · outbound
This paper cites A networked SIS dis ease dynamics model with a waterborne pathogen.
Global and Distributed Reproduction Numbers of a Multilayer SIR Model with an Infrastructure Network A networked SIS dis ease dynamics model with a waterborne pathogen
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-24T03:25:59.716016Z
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.
Observation d22d1458-6c12-4da1-bef9-32a32e96e4b6 · outbound
This paper cites Multilayer SIS model with an infrastructure ne twork.
Global and Distributed Reproduction Numbers of a Multilayer SIR Model with an Infrastructure Network Multilayer SIS model with an infrastructure ne twork
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-24T03:25:59.711715Z
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.
Observation c4b85f77-89cd-465f-b148-65dfb6c471c5 · outbound
This paper cites Peak infection time for a networked SIR epidemic with opinion dynamics.
Global and Distributed Reproduction Numbers of a Multilayer SIR Model with an Infrastructure Network Peak infection time for a networked SIR epidemic with opinion dynamics
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-24T03:25:59.727661Z
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.
Observation d0af71f8-9e1c-4107-b325-27e9e0e8b5fd · outbound
This paper cites On a network ed SIS epidemic model with cooperative and antagonistic opinion d ynamics.
Global and Distributed Reproduction Numbers of a Multilayer SIR Model with an Infrastructure Network On a network ed SIS epidemic model with cooperative and antagonistic opinion d ynamics
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-24T03:25:59.702281Z
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.
Observation 1c8ba092-8340-4452-8b7a-c57940c8245c · outbound
This paper cites Reproduction numbers of infecti ous disease models.
Global and Distributed Reproduction Numbers of a Multilayer SIR Model with an Infrastructure Network Reproduction numbers of infecti ous disease models
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-24T03:25:59.716298Z
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.
Observation 21b5a0a8-36a0-4bc9-b84c-2d131a68b651 · outbound
This paper cites Analysis, prediction, and control o f epidemics: A survey from scalar to dynamic network models.
Global and Distributed Reproduction Numbers of a Multilayer SIR Model with an Infrastructure Network Analysis, prediction, and control o f epidemics: A survey from scalar to dynamic network models
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-24T03:25:59.738831Z
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.
Observation f0354689-f107-4485-be25-3b0d640a0256 · outbound
This paper cites Analysis a nd control of epidemics: A survey of spreading processes on complex net works.
Global and Distributed Reproduction Numbers of a Multilayer SIR Model with an Infrastructure Network Analysis a nd control of epidemics: A survey of spreading processes on complex net works
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-24T03:25:59.694743Z
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.
Observation d7c14280-c521-4576-9b1c-6cb37d94aa13 · outbound
This paper cites Analysis and control of a continuous-time bi-virus model.
Global and Distributed Reproduction Numbers of a Multilayer SIR Model with an Infrastructure Network Analysis and control of a continuous-time bi-virus model
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-24T03:25:59.686943Z
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.
Observation d98b63cc-9b4a-4eeb-b396-561add6d7b61 · outbound
This paper cites Multi-co mpetitive virus spread over a time-varying networked SIS model with an infrastructure network.
Global and Distributed Reproduction Numbers of a Multilayer SIR Model with an Infrastructure Network Multi-co mpetitive virus spread over a time-varying networked SIS model with an infrastructure network
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-24T03:25:59.690571Z
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.
Observation 370dddbf-ae0b-4e45-b2f2-452f9c712443 · outbound
This paper cites Distributed reproduct ion numbers of networked epidemics.
Global and Distributed Reproduction Numbers of a Multilayer SIR Model with an Infrastructure Network Distributed reproduct ion numbers of networked epidemics
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-24T03:25:59.735177Z
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.
Observation 65ce7f86-57bf-4131-93bd-cf64e585be12 · outbound
This paper cites an unresolved cited work.
Global and Distributed Reproduction Numbers of a Multilayer SIR Model with an Infrastructure Network Unresolved cited work
Reference 20
- Resolution
- unresolved
- raw_fallback, observed 2026-05-24T03:25:59.745448Z
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.
Pith citing papers
No inbound Pith citation observations are available.