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The Spatially Homogeneous Hopf Bifurcation Induced Jointly by Memory and General Delays in a Diffusive System

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1002/mma.5189openalex-extracted
The diffusive Beddington‐DeAngelis predator‐prey model with nonlinear prey‐taxis and free boundary
inferredcites →https://doi.org/10.1006/jdeq.1995.1144openalex-extracted
Normal Forms for Retarded Functional Differential Equations with Parameters and Applications to Hopf Bifurcation
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An Introduction to Delay Differential Equations with Applications to the Life Sciences
inferredcites →https://doi.org/10.1007/978-1-4613-4145-1_3openalex-extracted
The Mathematics of Diffusion
inferredcites →https://doi.org/10.1007/978-1-4613-8159-4openalex-extracted
Methods of Bifurcation Theory
inferredcites →https://doi.org/10.1007/978-1-4757-4978-6openalex-extracted
Diffusion and Ecological Problems: Modern Perspectives
inferredcites →https://doi.org/10.1007/978-3-642-93107-9openalex-extracted
Time Lags in Biological Models
inferredcites →https://doi.org/10.1007/b98869openalex-extracted
Mathematical Biology
inferredcites →https://doi.org/10.1007/s10884-019-09739-0openalex-extracted
Bifurcation Analysis for a Delayed Diffusive Logistic Population Model in the Advective Heterogeneous Environment
inferredcites →https://doi.org/10.1007/s10884-019-09757-yopenalex-extracted
Diffusive Spatial Movement with Memory
inferredcites →https://doi.org/10.1007/s10884-019-09778-7openalex-extracted
The Dynamics of a Predator–Prey Model with Diffusion and Indirect Prey-Taxis
inferredcites →https://doi.org/10.1016/0022-5193(70)90092-5openalex-extracted
Initiation of slime mold aggregation viewed as an instability
inferredcites →https://doi.org/10.1016/j.amc.2014.10.116openalex-extracted
Global asymptotic stability of a diffusive predator–prey model with ratio-dependent functional response
inferredcites →https://doi.org/10.1016/j.amc.2021.126254openalex-extracted
Memory-based movement with spatiotemporal distributed delays in diffusion and reaction
inferredcites →https://doi.org/10.1016/j.chaos.2021.111478openalex-extracted
Turing-Hopf bifurcation analysis and normal form of a diffusive Brusselator model with gene expression time delay
inferredcites →https://doi.org/10.1016/j.ecocom.2017.07.001openalex-extracted
Prey-taxis destabilizes homogeneous stationary state in spatial Gause–Kolmogorov-type model for predator–prey system
inferredcites →https://doi.org/10.1016/j.jde.2015.12.024openalex-extracted
Global existence of solutions and uniform persistence of a diffusive predator–prey model with prey-taxis
inferredcites →https://doi.org/10.1016/j.jde.2018.01.008openalex-extracted
Hopf bifurcation in a delayed reaction–diffusion–advection population model
inferredcites →https://doi.org/10.1016/j.jde.2019.06.025openalex-extracted
Spatiotemporal dynamics in the single population model with memory-based diffusion and nonlocal effect
inferredcites →https://doi.org/10.1016/j.jde.2019.09.003openalex-extracted
On a Lotka-Volterra competition-diffusion-advection system: Homogeneity vs heterogeneity
inferredcites →https://doi.org/10.1016/j.jde.2021.08.010openalex-extracted
The spatially inhomogeneous Hopf bifurcation induced by memory delay in a memory-based diffusion system
inferredcites →https://doi.org/10.1016/j.matpur.2018.06.010openalex-extracted
Global dynamics of a Lotka–Volterra competition–diffusion–advection system in heterogeneous environments
inferredcites →https://doi.org/10.1016/j.nonrwa.2007.06.017openalex-extracted
A reaction–diffusion system modeling predator–prey with prey-taxis
inferredcites →https://doi.org/10.1016/j.physd.2010.09.011openalex-extracted
Spatio-temporal chaos in a chemotaxis model
inferredcites →https://doi.org/10.1017/cbo9780511608520openalex-extracted
Elements of Mathematical Ecology
inferredcites →https://doi.org/10.1088/0951-7715/23/7/010openalex-extracted
Delay-dependent stability of neural networks of neutral type with time delay in the leakage term
inferredcites →https://doi.org/10.1088/1361-6544/ab1f2fopenalex-extracted
Diffusive spatial movement with memory and maturation delays
inferredcites →https://doi.org/10.1090/s0002-9947-00-02280-7openalex-extracted
Normal forms and Hopf bifurcation for partial differential equations with delays
inferredcites →https://doi.org/10.1111/sapm.12443openalex-extracted
Spatiotemporal dynamics of a diffusive consumer‐resource model with explicit spatial memory
inferredcites →https://doi.org/10.1137/100802943openalex-extracted
A Chemotaxis-Haptotaxis Model: The Roles of Nonlinear Diffusion and Logistic Source
inferredcites →https://doi.org/10.1137/110853972openalex-extracted
Global Regularity versus Infinite-Time Singularity Formation in a Chemotaxis Model with Volume-Filling Effect and Degenerate Diffusion
inferredcites →https://doi.org/10.1137/15m1014115openalex-extracted
Large Time Behavior in a Multidimensional Chemotaxis-Haptotaxis Model with Slow Signal Diffusion
inferredcites →https://doi.org/10.1142/s0218202516400108openalex-extracted
Predator–prey model with diffusion and indirect prey-taxis
inferredcites →https://doi.org/10.48550/arxiv.1706.02087openalex-extracted
inferredcites →https://doi.org/10.48550/arxiv.2104.00330openalex-extracted
The spatially inhomogeneous Hopf bifurcation induced by memory delay in a memory-based diffusion system

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inferred← citeshttps://doi.org/10.21203/rs.3.rs-3475625/v1openalex-snapshot
Hopf-Hopf bifurcation and spatially staggered time-periodic orbits induced by the joint effects of predator-taxis and delay
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