Paper Citation Record · LEDGER

Dynamics of Reaction-Diffusion-Advection System and its Impact on River Ecology in the Presence of Spatial Heterogeneity I

As of 13 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 0 inbound Pith citation observations for arXiv:2412.00038.

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

pith.paper-citation-record.v1
2412.00038 v1

Coverage vector

measured 35 of 35 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T15:05:53.815013Z

measured 35 of 35 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+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

35 of 35 outbound references displayed

verified exact1
verified fuzzy25
unresolved9
parse uncertain0
malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation dbdbf923-5afb-4e14-abc0-3bb8629d8852 · outbound

This paper cites Stable isotopes resolve the drift paradox for Baetis mayflies in an arctic river.

Dynamics of Reaction-Diffusion-Advection System and its Impact on River Ecology in the Presence of Spatial Heterogeneity I Stable isotopes resolve the drift paradox for Baetis mayflies in an arctic river

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:05:54.248215Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 4d30ec45-0ba1-4b77-8c9d-918bd4f9123f · outbound

This paper cites Dynamics of reaction–diffusion–advection system and its impact on river ecology in the presence of spatial heterogeneity.

Dynamics of Reaction-Diffusion-Advection System and its Impact on River Ecology in the Presence of Spatial Heterogeneity I Dynamics of reaction–diffusion–advection system and its impact on river ecology in the presence of spatial heterogeneity

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:05:54.236601Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation cd3e80ef-3a77-40de-ae1a-c2017108a723 · outbound

This paper cites Global dynamics of a general competitive reaction–diffusion–advection system in one dimensional environments.

Dynamics of Reaction-Diffusion-Advection System and its Impact on River Ecology in the Presence of Spatial Heterogeneity I Global dynamics of a general competitive reaction–diffusion–advection system in one dimensional environments

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:05:54.225623Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation aeaa82d3-5faa-45d9-a121-9a42506ca948 · outbound

This paper cites Reaction-Diffusion Equations in Spatial Ecology (Doctoral dissertation, The Ohio State University).

Dynamics of Reaction-Diffusion-Advection System and its Impact on River Ecology in the Presence of Spatial Heterogeneity I Reaction-Diffusion Equations in Spatial Ecology (Doctoral dissertation, The Ohio State University)

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:05:54.214346Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 845ac310-fd77-4bb4-9a45-84d60b808c21 · outbound

This paper cites On a competition-diffusion-advection system from river ecology: mathematical analysis and numerical study.

Dynamics of Reaction-Diffusion-Advection System and its Impact on River Ecology in the Presence of Spatial Heterogeneity I On a competition-diffusion-advection system from river ecology: mathematical analysis and numerical study

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:05:54.203422Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 14bc0aef-ab3e-47f6-97fd-d97ec62ffb61 · outbound

This paper cites Global dynamics of the Lotka‐Volterra competition‐diffusion system: diffusion and spatial heterogeneity I.

Dynamics of Reaction-Diffusion-Advection System and its Impact on River Ecology in the Presence of Spatial Heterogeneity I Global dynamics of the Lotka‐Volterra competition‐diffusion system: diffusion and spatial heterogeneity I

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:05:54.192402Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 9408c9b4-417f-4f91-8d74-69e4a8b10b06 · outbound

This paper cites Analysis of a reaction-diffusion system modeling predator-prey with prey-taxis.

Dynamics of Reaction-Diffusion-Advection System and its Impact on River Ecology in the Presence of Spatial Heterogeneity I Analysis of a reaction-diffusion system modeling predator-prey with prey-taxis

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:05:54.180816Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 6ac3c815-cdd9-45af-8da6-e770690842f1 · outbound

This paper cites Mathematical Study of a Resource-Based Diffusion Model with Gilpin–Ayala Growth and Harvesting.

Dynamics of Reaction-Diffusion-Advection System and its Impact on River Ecology in the Presence of Spatial Heterogeneity I Mathematical Study of a Resource-Based Diffusion Model with Gilpin–Ayala Growth and Harvesting

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:05:54.169910Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 2eee2061-f6d0-4ba2-b306-fd10e9043aa9 · outbound

This paper cites Reaction-diffusion-advection models for the effects and evolution of dispersal.

Dynamics of Reaction-Diffusion-Advection System and its Impact on River Ecology in the Presence of Spatial Heterogeneity I Reaction-diffusion-advection models for the effects and evolution of dispersal

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:05:54.158488Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation f24485c3-d691-4a80-a3e2-38b572c80a30 · outbound

This paper cites Persistence and extinction in spatial models with a carrying capacity driven diffusion and harvesting.

Dynamics of Reaction-Diffusion-Advection System and its Impact on River Ecology in the Presence of Spatial Heterogeneity I Persistence and extinction in spatial models with a carrying capacity driven diffusion and harvesting

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:05:54.147782Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation bb2ad328-d8ff-416f-8e29-17877a5d2b79 · outbound

This paper cites Spatio-temporal solutions of a diffusive directed dynamics model with harvesting.

Dynamics of Reaction-Diffusion-Advection System and its Impact on River Ecology in the Presence of Spatial Heterogeneity I Spatio-temporal solutions of a diffusive directed dynamics model with harvesting

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:05:54.136551Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 004950ea-16cf-4130-9902-ccf7f2cf4f3e · outbound

This paper cites Gilpin–Ayala model with spatial diffusion and its optimal harvesting policy.

Dynamics of Reaction-Diffusion-Advection System and its Impact on River Ecology in the Presence of Spatial Heterogeneity I Gilpin–Ayala model with spatial diffusion and its optimal harvesting policy

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:05:54.125401Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 66e13f92-aee3-4302-8eba-9490ac2cf77a · outbound

This paper cites Interplay of harvesting and the growth rate for spatially diversified populations and the testing of a decoupled scheme.

Dynamics of Reaction-Diffusion-Advection System and its Impact on River Ecology in the Presence of Spatial Heterogeneity I Interplay of harvesting and the growth rate for spatially diversified populations and the testing of a decoupled scheme

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:05:54.113678Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 34871acd-64a8-48a3-9742-0b68afa41de0 · outbound

This paper cites Evolution of dispersal and the analysis of a resource flourished population model with harvesting.

Dynamics of Reaction-Diffusion-Advection System and its Impact on River Ecology in the Presence of Spatial Heterogeneity I Evolution of dispersal and the analysis of a resource flourished population model with harvesting

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:05:54.101920Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 0456425c-2205-4f87-8f3b-5cb49f7749d8 · outbound

This paper cites an unresolved cited work.

Dynamics of Reaction-Diffusion-Advection System and its Impact on River Ecology in the Presence of Spatial Heterogeneity I Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-12T15:05:54.090801Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 2b9074ec-7997-4e0f-82cf-05544e8077d0 · outbound

This paper cites Nonlinear parabolic and elliptic equations.

Dynamics of Reaction-Diffusion-Advection System and its Impact on River Ecology in the Presence of Spatial Heterogeneity I Nonlinear parabolic and elliptic equations

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:05:54.079309Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation cbf8d10b-c1df-474a-84a2-cc5c9e7a8ecf · outbound

This paper cites On a Lotka-Volterra competition system: diffusion vs advection.

Dynamics of Reaction-Diffusion-Advection System and its Impact on River Ecology in the Presence of Spatial Heterogeneity I On a Lotka-Volterra competition system: diffusion vs advection

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:05:54.067795Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation f1612fed-5a65-4d8e-a194-a569af8e2ea9 · outbound

This paper cites Qualitative analysis for a Lotka-Volterra competition system in advective homogeneous environment.

Dynamics of Reaction-Diffusion-Advection System and its Impact on River Ecology in the Presence of Spatial Heterogeneity I Qualitative analysis for a Lotka-Volterra competition system in advective homogeneous environment

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:05:54.055938Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation cf97c2ea-b364-4891-9c1e-8da183fcc904 · outbound

This paper cites On a Lotka–Volterra competition model: the effects of advection and spatial variation.

Dynamics of Reaction-Diffusion-Advection System and its Impact on River Ecology in the Presence of Spatial Heterogeneity I On a Lotka–Volterra competition model: the effects of advection and spatial variation

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:05:54.044129Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 8dbce251-daaf-40d7-8e2b-2dc21ec1b04f · outbound

This paper cites Stocking and Harvesting Effects in Advection-Reaction-Diffusion Model: Exploring Decoupled Algorithms and Analysis.

Dynamics of Reaction-Diffusion-Advection System and its Impact on River Ecology in the Presence of Spatial Heterogeneity I Stocking and Harvesting Effects in Advection-Reaction-Diffusion Model: Exploring Decoupled Algorithms and Analysis

Reference 20

Resolution: verified exact; local_arxiv, observed 2026-08-12T15:05:53.852846Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 6830548e-7cd5-4b05-99a5-12b1293c266d · outbound

This paper cites On an abstract competition model and applications.

Dynamics of Reaction-Diffusion-Advection System and its Impact on River Ecology in the Presence of Spatial Heterogeneity I On an abstract competition model and applications

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:05:54.032071Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 59e97f59-710e-4c13-a164-64de39ff23f3 · outbound

This paper cites Competitive exclusion and coexistence for competitive systems on ordered Banach spaces.

Dynamics of Reaction-Diffusion-Advection System and its Impact on River Ecology in the Presence of Spatial Heterogeneity I Competitive exclusion and coexistence for competitive systems on ordered Banach spaces

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:05:54.020434Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 40374775-e88f-4e8a-ad48-48f22a4816e3 · outbound

This paper cites Dynamics of Lotka-Volterra diffusion-advection competition system with heterogeneity vs homogeneity.

Dynamics of Reaction-Diffusion-Advection System and its Impact on River Ecology in the Presence of Spatial Heterogeneity I Dynamics of Lotka-Volterra diffusion-advection competition system with heterogeneity vs homogeneity

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:05:54.008550Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 574e93ea-f531-4243-ad08-f7b761c2be45 · outbound

This paper cites Dispersal dynamics: competitive Symbiotic and predator-prey interactions.

Dynamics of Reaction-Diffusion-Advection System and its Impact on River Ecology in the Presence of Spatial Heterogeneity I Dispersal dynamics: competitive Symbiotic and predator-prey interactions

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:05:53.996577Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 0d7ff310-bb8b-4667-b2be-82c45b7f54a9 · outbound

This paper cites an unresolved cited work.

Dynamics of Reaction-Diffusion-Advection System and its Impact on River Ecology in the Presence of Spatial Heterogeneity I Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-12T15:05:53.982282Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 3579a437-c414-4524-a2d9-469a1324a942 · outbound

This paper cites Y., & Lou, Y.

Dynamics of Reaction-Diffusion-Advection System and its Impact on River Ecology in the Presence of Spatial Heterogeneity I Y., & Lou, Y

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:05:53.970470Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 018d4920-e4f9-4941-92fc-98b7e29139ff · outbound

This paper cites an unresolved cited work.

Dynamics of Reaction-Diffusion-Advection System and its Impact on River Ecology in the Presence of Spatial Heterogeneity I Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-12T15:05:53.959175Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 91a69d9c-82bb-423f-90ef-273c58d5a80c · outbound

This paper cites an unresolved cited work.

Dynamics of Reaction-Diffusion-Advection System and its Impact on River Ecology in the Presence of Spatial Heterogeneity I Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-12T15:05:53.947542Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 6aed3f3c-388f-4388-ae22-3c1c75142238 · outbound

This paper cites an unresolved cited work.

Dynamics of Reaction-Diffusion-Advection System and its Impact on River Ecology in the Presence of Spatial Heterogeneity I Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-12T15:05:53.935611Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation ec8e0b23-de4f-4b46-8a91-2047b26a5139 · outbound

This paper cites Q., & Zhao, X.

Dynamics of Reaction-Diffusion-Advection System and its Impact on River Ecology in the Presence of Spatial Heterogeneity I Q., & Zhao, X

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:05:53.924393Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation a37b4c31-4a87-46c3-8f5e-0801dd0b0dda · outbound

This paper cites an unresolved cited work.

Dynamics of Reaction-Diffusion-Advection System and its Impact on River Ecology in the Presence of Spatial Heterogeneity I Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-08-12T15:05:53.912730Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 61620a85-f2a7-45d8-a508-5bd0b33c32a1 · outbound

This paper cites an unresolved cited work.

Dynamics of Reaction-Diffusion-Advection System and its Impact on River Ecology in the Presence of Spatial Heterogeneity I Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-12T15:05:53.900816Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 67468424-6bf9-4661-9687-bbc625048f59 · outbound

This paper cites M., Trabelsi, K., & Allaire, G.

Dynamics of Reaction-Diffusion-Advection System and its Impact on River Ecology in the Presence of Spatial Heterogeneity I M., Trabelsi, K., & Allaire, G

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:05:53.888469Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation f2b3d4c6-fad1-4855-bf1d-114ce9c47f36 · outbound

This paper cites an unresolved cited work.

Dynamics of Reaction-Diffusion-Advection System and its Impact on River Ecology in the Presence of Spatial Heterogeneity I Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-08-12T15:05:53.876285Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation e36ae6b8-407d-4046-94ff-cd781c10e1b8 · outbound

This paper cites an unresolved cited work.

Dynamics of Reaction-Diffusion-Advection System and its Impact on River Ecology in the Presence of Spatial Heterogeneity I Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-08-12T15:05:53.864736Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Pith citing papers

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