Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T12:36:00.247478Z
Paper Citation Record · LEDGER
Drift, stabilizing and destabilizing for a Patlak-Keller-Segel system with the short-wavelength external signal
As of 20 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 0 inbound Pith citation observations for arXiv:1908.07075.
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 2026-08-20T06:33:59.587034+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
29 of 29 outbound references displayed
- verified exact0
- verified fuzzy22
- unresolved5
- parse uncertain0
- malformed identifier2
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation ee104450-95d7-4c56-8c15-61ae98adde58 · outbound
This paper cites an unresolved cited work.
Drift, stabilizing and destabilizing for a Patlak-Keller-Segel system with the short-wavelength external signal Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T12:36:00.805005Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation fcb688f3-9c44-4b72-bffd-f462c7ba97d7 · outbound
This paper cites Quasisoliton interaction of pur- suitevasion waves in a predator-prey system.Phys.
Drift, stabilizing and destabilizing for a Patlak-Keller-Segel system with the short-wavelength external signal Quasisoliton interaction of pur- suitevasion waves in a predator-prey system.Phys
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:36:00.790848Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 193c4e18-130c-40b8-8bf0-300d8aa05d3d · outbound
This paper cites Soliton-like phenomena in one- dimensional cross-diffusion systems: a predator–prey pursuit and evasion example.
Drift, stabilizing and destabilizing for a Patlak-Keller-Segel system with the short-wavelength external signal Soliton-like phenomena in one- dimensional cross-diffusion systems: a predator–prey pursuit and evasion example
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:36:00.776225Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 7765edf7-0077-49fb-abc3-f28764b0e177 · outbound
This paper cites Half-soliton interaction of population taxis waves in predator-prey systems with pursuit and evasion.
Drift, stabilizing and destabilizing for a Patlak-Keller-Segel system with the short-wavelength external signal Half-soliton interaction of population taxis waves in predator-prey systems with pursuit and evasion
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:36:00.757811Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 9b41e03a-30c2-4525-8ede-00337bf5cbd1 · outbound
This paper cites Slow taxis in a predator-prey model.
Drift, stabilizing and destabilizing for a Patlak-Keller-Segel system with the short-wavelength external signal Slow taxis in a predator-prey model
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:36:00.745058Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 9d05d4df-2983-4dc5-997d-23ab04db17a8 · outbound
This paper cites Directed movement of preda- tors and the emergence of density-dependence in predator–prey models.
Drift, stabilizing and destabilizing for a Patlak-Keller-Segel system with the short-wavelength external signal Directed movement of preda- tors and the emergence of density-dependence in predator–prey models
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:36:00.725111Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation b9cfaba2-a623-4e30-a4e2-2e623cfe4445 · outbound
This paper cites Chemotaxis- induced spatio-temporal heterogeneity in multi-species host-parasitoid systems.
Drift, stabilizing and destabilizing for a Patlak-Keller-Segel system with the short-wavelength external signal Chemotaxis- induced spatio-temporal heterogeneity in multi-species host-parasitoid systems
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:36:00.703856Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 36e225d1-91a6-4e0e-9fb1-575612321a09 · outbound
This paper cites Toward a mathematical theory of Keller-Segel models of pattern formation in biological tissues.
Drift, stabilizing and destabilizing for a Patlak-Keller-Segel system with the short-wavelength external signal Toward a mathematical theory of Keller-Segel models of pattern formation in biological tissues
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:36:00.688851Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation b898dfbd-32e7-4533-aabc-db54c1e21a20 · outbound
This paper cites Steady states of a predator–prey model with prey-taxis.
Drift, stabilizing and destabilizing for a Patlak-Keller-Segel system with the short-wavelength external signal Steady states of a predator–prey model with prey-taxis
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:36:00.666430Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 605feb7e-6aa9-406e-8368-b121bcd35384 · outbound
This paper cites Predator–prey model with diffusion and indirect prey-taxis.
Drift, stabilizing and destabilizing for a Patlak-Keller-Segel system with the short-wavelength external signal Predator–prey model with diffusion and indirect prey-taxis
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:36:00.648482Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation b7d73314-b905-4305-af63-993da14bc317 · outbound
This paper cites Prey-taxis destabilizes homogeneous stationary state in spatial Gause–Kolmogorov-type model for predator–prey system.
Drift, stabilizing and destabilizing for a Patlak-Keller-Segel system with the short-wavelength external signal Prey-taxis destabilizes homogeneous stationary state in spatial Gause–Kolmogorov-type model for predator–prey system
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:36:00.628951Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 5b044bee-3ffc-4994-ae6f-80777a3269eb · outbound
This paper cites Time-periodic and stable patterns of a two-competing-species Keller-Segel chemotaxis model: Effect of cellular growth.
Drift, stabilizing and destabilizing for a Patlak-Keller-Segel system with the short-wavelength external signal Time-periodic and stable patterns of a two-competing-species Keller-Segel chemotaxis model: Effect of cellular growth
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:36:00.493742Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 011c2678-72cc-4708-9209-2bc08c15ef39 · outbound
This paper cites Boundedness in a chemotaxis system with indirect signal production and generalized logistic source.
Drift, stabilizing and destabilizing for a Patlak-Keller-Segel system with the short-wavelength external signal Boundedness in a chemotaxis system with indirect signal production and generalized logistic source
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:36:00.481169Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 3f511132-851b-4125-8e03-f8342807e296 · outbound
This paper cites Homogenization techniques for population dynamics in strongly heterogeneous landscapes.
Drift, stabilizing and destabilizing for a Patlak-Keller-Segel system with the short-wavelength external signal Homogenization techniques for population dynamics in strongly heterogeneous landscapes
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:36:00.467367Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation a71ed3ce-e649-4d3f-89a9-17dc2785e567 · outbound
This paper cites Boundedness in a Keller–Segel system with external signal production.
Drift, stabilizing and destabilizing for a Patlak-Keller-Segel system with the short-wavelength external signal Boundedness in a Keller–Segel system with external signal production
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:36:00.455143Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation a99f36a4-7d91-4f64-bd40-913ed1a1c187 · outbound
This paper cites & Shen, W.
Reference 16
- Resolution
- malformed identifier
- doi_truncated, observed 2026-08-14T12:36:00.292456Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 75234906-5b61-4d4d-97bc-cd4343414135 · outbound
This paper cites an unresolved cited work.
Drift, stabilizing and destabilizing for a Patlak-Keller-Segel system with the short-wavelength external signal Unresolved cited work
Reference 17
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T12:36:00.442396Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation b8e45035-4f27-416e-997a-059725e74c78 · outbound
This paper cites I., Afrajmovich, V.
Drift, stabilizing and destabilizing for a Patlak-Keller-Segel system with the short-wavelength external signal I., Afrajmovich, V
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:36:00.430379Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation d539097c-b7a2-42c9-b9ae-d085e6d43bca · outbound
This paper cites an unresolved cited work.
Drift, stabilizing and destabilizing for a Patlak-Keller-Segel system with the short-wavelength external signal Unresolved cited work
Reference 19
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T12:36:00.418426Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation d3ee1874-2622-4c5a-b5ea-75f2ef26efe3 · outbound
This paper cites The dynamics of vibrations in systems with constraints.
Drift, stabilizing and destabilizing for a Patlak-Keller-Segel system with the short-wavelength external signal The dynamics of vibrations in systems with constraints
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:36:00.404579Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation a3b80738-bfa6-460f-b3d2-03e9a681a935 · outbound
This paper cites On vibrodynamics of pendulum and submerged solid.
Drift, stabilizing and destabilizing for a Patlak-Keller-Segel system with the short-wavelength external signal On vibrodynamics of pendulum and submerged solid
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:36:00.391755Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 77906f94-dbdb-490d-99e7-9d5d29f3e442 · outbound
This paper cites Two-Timing Hypothesis, Distinguished Limits, Drifts, and Pseudo-Diffusion for Oscillating Flows.
Drift, stabilizing and destabilizing for a Patlak-Keller-Segel system with the short-wavelength external signal Two-Timing Hypothesis, Distinguished Limits, Drifts, and Pseudo-Diffusion for Oscillating Flows
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:36:00.379445Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation e16dd62e-a5e1-4948-90d6-c5433e50f7d5 · outbound
This paper cites an unresolved cited work.
Drift, stabilizing and destabilizing for a Patlak-Keller-Segel system with the short-wavelength external signal Unresolved cited work
Reference 23
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T12:36:00.366187Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 36904420-8033-4332-8005-cecad5e76fe2 · outbound
This paper cites Homogenization and two-scale convergence.
Drift, stabilizing and destabilizing for a Patlak-Keller-Segel system with the short-wavelength external signal Homogenization and two-scale convergence
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:36:00.353401Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 947076b8-0a88-4e4f-b6fb-6095bbf89741 · outbound
This paper cites an unresolved cited work.
Drift, stabilizing and destabilizing for a Patlak-Keller-Segel system with the short-wavelength external signal Unresolved cited work
Reference 25
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T12:36:00.342083Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 6f9dbeeb-811a-4a22-8d62-6ee15ba6f2a5 · outbound
This paper cites & Yudovich, V.
Drift, stabilizing and destabilizing for a Patlak-Keller-Segel system with the short-wavelength external signal & Yudovich, V
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:36:00.330377Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 3ae7b0ee-13c7-443c-8717-510b1bdd1208 · outbound
This paper cites Cycle-creating bifurcation from a family of equilibria of a dynamical system and its delay, J.
Drift, stabilizing and destabilizing for a Patlak-Keller-Segel system with the short-wavelength external signal Cycle-creating bifurcation from a family of equilibria of a dynamical system and its delay, J
Reference 27
- Resolution
- malformed identifier
- no resolver link, observed 2026-08-14T12:36:00.239860Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 839fe276-ef61-4a44-9c19-b06feb9f656d · outbound
This paper cites A strong maximum principle for parabolic equations.
Drift, stabilizing and destabilizing for a Patlak-Keller-Segel system with the short-wavelength external signal A strong maximum principle for parabolic equations
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:36:00.318340Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation fed38d88-93f6-47c2-9281-ee9f925d03ac · outbound
This paper cites Second order equations of elliptic and parabolic type.
Drift, stabilizing and destabilizing for a Patlak-Keller-Segel system with the short-wavelength external signal Second order equations of elliptic and parabolic type
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:36:00.306118Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Pith citing papers
No inbound Pith citation observations are available.