Hopf bifurcation and pattern formation in a delayed diffusive logistic model with spatial heterogeneity
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Publication:1755922
DOI10.3934/dcdsb.2018182zbMath1404.35262OpenAlexW2807315687MaRDI QIDQ1755922
Qingyan Shi, Yongli Song, Junping Shi
Publication date: 11 January 2019
Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcdsb.2018182
Periodic solutions to PDEs (35B10) Reaction-diffusion equations (35K57) Partial functional-differential equations (35R10) Ecology (92D40) Bifurcations in context of PDEs (35B32) General biology and biomathematics (92B05) Pattern formations in context of PDEs (35B36)
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Cites Work
- Unnamed Item
- Unnamed Item
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- Unnamed Item
- Stability and bifurcation in a delayed reaction-diffusion equation with Dirichlet boundary condition
- Global dynamics of the Lotka-Volterra competition-diffusion system with equal amount of total resources. II
- The effects of diffusion and spatial variation in Lotka-Volterra competition-diffusion system. II: The general case
- The effect of time delay in a two-patch model with random dispersal
- Evolution of dispersal in open advective environments
- Effects of dispersal on total biomass in a patchy, heterogeneous system: analysis and experiment
- Hopf bifurcation in a delayed reaction-diffusion-advection population model
- The effects of diffusion and spatial variation in Lotka-Volterra competition-diffusion system I: Heterogeneity vs. homogeneity
- The effects of spatial heterogeneity in population dynamics
- Dispersal and spatial heterogeneity: single species
- Approximating the ideal free distribution via reaction-diffusion-advection equations
- 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
- Spatial heterogeneity and interspecific competition
- Convergence to equilibrium for delay-diffusion equations with small delay
- On the diffusion of biological populations
- On the effects of spatial heterogeneity on the persistence of interacting species
- Mathematical biology. Vol. 2: Spatial models and biomedical applications.
- Dynamics of a food-limited population model incorporating nonlocal delays on a finite domain
- Stability and Hopf bifurcation in a diffusive logistic population model with nonlocal delay effect
- Theory and applications of partial functional differential equations
- Spatial heterogeneity of resources versus Lotka-Volterra dynamics
- Stability and Hopf bifurcation for a population delay model with diffusion effects
- Ecological models, permanence and spatial heterogeneity
- Hopf bifurcation in a diffusive logistic equation with mixed delayed and instantaneous density dependence
- 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 the effects of migration and spatial heterogeneity on single and multiple species
- Global Dynamics of the Lotka-Volterra Competition-Diffusion System: Diffusion and Spatial Heterogeneity I
- Stability of bifurcating periodic solutions in a delayed reaction–diffusion population model
- Spatial Ecology via Reaction‐Diffusion Equations
- Bifurcation and Asymptotic Behavior of Solutions of a Delay-Differential Equation with Diffusion
- Uniqueness and Complete Dynamics in Heterogeneous Competition-Diffusion Systems
- Normal forms and Hopf bifurcation for partial differential equations with delays
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