The spatially homogeneous Hopf bifurcation induced jointly by memory and general delays in a diffusive system
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Publication:2677054
DOI10.1016/j.chaos.2022.111826zbMath1506.35114arXiv2201.01200OpenAlexW4225554105MaRDI QIDQ2677054
Publication date: 12 January 2023
Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2201.01200
Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Bifurcations in context of PDEs (35B32) Cell movement (chemotaxis, etc.) (92C17)
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Cites Work
- Unnamed Item
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- Spatio-temporal chaos in a chemotaxis model
- Hopf bifurcation in a delayed reaction-diffusion-advection population model
- The dynamics of a predator-prey model with diffusion and indirect prey-taxis
- Initiation of slime mold aggregation viewed as an instability
- Global asymptotic stability of a diffusive predator-prey model with ratio-dependent functional response
- A reaction-diffusion system modeling predator-prey with prey-taxis
- Diffusion and ecological problems: Modern perspectives.
- Mathematical biology. Vol. 2: Spatial models and biomedical applications.
- Global dynamics of a Lotka-Volterra competition-diffusion-advection system in heterogeneous environments
- Normal forms for retarded functional differential equations with parameters and applications to Hopf bifurcation
- The spatially inhomogeneous Hopf bifurcation induced by memory delay in a memory-based diffusion system
- Turing-Hopf bifurcation analysis and normal form of a diffusive Brusselator model with gene expression time delay
- Bifurcation analysis for a delayed diffusive logistic population model in the advective heterogeneous environment
- Diffusive spatial movement with memory
- Memory-based movement with spatiotemporal distributed delays in diffusion and reaction
- On a Lotka-Volterra competition-diffusion-advection system: homogeneity vs heterogeneity
- Spatiotemporal dynamics in the single population model with memory-based diffusion and nonlocal effect
- Predator-prey model with prey-taxis and diffusion
- Global existence of solutions and uniform persistence of a diffusive predator-prey model with prey-taxis
- Predator–prey model with diffusion and indirect prey-taxis
- A Chemotaxis-Haptotaxis Model: The Roles of Nonlinear Diffusion and Logistic Source
- Large Time Behavior in a Multidimensional Chemotaxis-Haptotaxis Model with Slow Signal Diffusion
- Delay-dependent stability of neural networks of neutral type with time delay in the leakage term
- The diffusive Beddington‐DeAngelis predator‐prey model with nonlinear prey‐taxis and free boundary
- Global Regularity versus Infinite-Time Singularity Formation in a Chemotaxis Model with Volume-Filling Effect and Degenerate Diffusion
- Normal forms and Hopf bifurcation for partial differential equations with delays
- Stability and Bifurcation in a Predator–Prey System with Prey-Taxis
- Diffusive spatial movement with memory and maturation delays
- An Introduction to Delay Differential Equations with Applications to the Life Sciences