Diffusive spatial movement with memory and maturation delays

DOI10.1088/1361-6544/ab1f2fzbMath1419.35114OpenAlexW2966042753MaRDI QIDQ5229984

Hao Wang, Chuncheng Wang, Junping Shi

Publication date: 19 August 2019

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/b862899e00e2dc08523cae36eca108567d3db847

zbMATH Keywords

Hopf bifurcationreaction diffusion equationsspatiotemporal dynamicsmemory-based diffusion

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) Population dynamics (general) (92D25) Bifurcations of singular points in dynamical systems (37G10)

Related Items (36)

Delay-induced instability in a reaction-diffusion model with a general advection term ⋮ Dynamics in a predator-prey model with memory effect in predator and fear effect in prey ⋮ Dynamics of a single population model with memory effect and spatial heterogeneity ⋮ Spatial movement with distributed memory ⋮ Stability and double-Hopf bifurcations of a Gause-Kolmogorov-type predator-prey system with indirect prey-taxis ⋮ A cell-cell repulsion model on a hyperbolic Keller-Segel equation ⋮ Hopf bifurcation analysis in a diffusive predator-prey system with spatial heterogeneity and delays ⋮ Spatial movement with memory-induced cross-diffusion effect and toxin effect in predator ⋮ The spatially homogeneous Hopf bifurcation induced jointly by memory and general delays in a diffusive system ⋮ Bifurcation analysis of a predator-prey model with memory-based diffusion ⋮ Spatiotemporal dynamics of a diffusive consumer‐resource model with explicit spatial memory ⋮ Bifurcations in a diffusive resource-consumer model with distributed memory ⋮ Optimal control of a parabolic equation with memory ⋮ Double Hopf bifurcation induced by gestation and memory delays in a spatial model with directed movement ⋮ Double Hopf bifurcation induced by spatial memory in a diffusive predator-prey model with Allee effect and maturation delay of predator ⋮ Spatial movement with temporally distributed memory and Dirichlet boundary condition ⋮ Bifurcations and pattern formation in a predator-prey model with memory-based diffusion ⋮ Spatial memory drives spatiotemporal patterns in a predator-prey model describing intraguild predation ⋮ Spatial movement with distributed memory and maturation delay ⋮ Dynamical analysis of a spatial memory prey-predator system with gestation delay and strong Allee effect ⋮ Analysis of a spatial memory model with nonlocal maturation delay and hostile boundary condition ⋮ Spatial movement with nonlocal memory ⋮ Crossover in spreading behavior due to memory in population dynamics ⋮ Diffusive spatial movement with memory in an advective environment ⋮ Stability and Hopf bifurcation of a heterogeneous diffusive model with spatial memory ⋮ Spatio-temporal Dynamics in a Reaction-Diffusion Equation with Nonlocal Spatial Memory ⋮ Dynamics of a diffusive competition model with memory effect and spatial heterogeneity ⋮ Open problems in PDE models for knowledge-based animal movement via nonlocal perception and cognitive mapping ⋮ The spatially inhomogeneous Hopf bifurcation induced by memory delay in a memory-based diffusion system ⋮ Spatial movement with diffusion and memory-based self-diffusion and cross-diffusion ⋮ Memory-based movement with spatiotemporal distributed delays in diffusion and reaction ⋮ Differential equation model for central-place foragers with memory: implications for bumble bee crop pollination ⋮ Normal form formulations of double-Hopf bifurcation for partial functional differential equations with nonlocal effect ⋮ Spatiotemporal patterns of a diffusive prey-predator model with spatial memory and pregnancy period in an intimidatory environment ⋮ Stability and Hopf bifurcation in a prey-predator model with memory-based diffusion ⋮ Bifurcation and pattern formation in an activator-inhibitor model with non-local dispersal

Uses Software

• DDE-BIFTOOL

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Stability analysis of a reaction-diffusion equation with spatiotemporal delay and Dirichlet boundary condition
• Stability switches in a logistic population model with mixed instantaneous and delayed density dependence
• A remark on the ODE with two discrete delays
• Stability and bifurcations in a nonlocal delayed reaction-diffusion population model
• Bifurcation and spatiotemporal patterns in a homogeneous diffusive predator-prey system
• Hopf bifurcations in a reaction-diffusion population model with delay effect
• The Hopf bifurcation and its stability for semilinear diffusion equations with time delay arising in ecology
• Global geometry of the stable regions for two delay differential equations
• Mathematical biology. Vol. 2: Spatial models and biomedical applications.
• Stability and Hopf bifurcation in a diffusive logistic population model with nonlocal delay effect
• Stability and bifurcation in a neural network model with two delays.
• Theory and applications of partial functional differential equations
• Stability and Hopf bifurcation for a population delay model with diffusion effects
• Hopf bifurcation in a diffusive logistic equation with mixed delayed and instantaneous density dependence
• Advances in interdisciplinary mathematical research. Applications to engineering, physical and life sciences
• Diffusive spatial movement with memory
• Stability and bifurcation in a reaction-diffusion model with nonlocal delay effect
• Hopf bifurcation in a reaction-diffusion equation with distributed delay and Dirichlet boundary condition
• On stability crossing curves for general systems with two delays
• Stability crossing boundaries of delay systems modeling immune dynamics in leukemia
• Stability of bifurcating periodic solutions in a delayed reaction–diffusion population model
• Stability and Bifurcations of Equilibria in a Multiple-Delayed Differential Equation
• A GEOMETRIC ANALYSIS OF STABILITY REGIONS FOR A LINEAR DIFFERENTIAL EQUATION WITH TWO DELAYS
• Bifurcation and Asymptotic Behavior of Solutions of a Delay-Differential Equation with Diffusion
• An Introduction to Delay Differential Equations with Applications to the Life Sciences

This page was built for publication: Diffusive spatial movement with memory and maturation delays