Stability and Hopf bifurcation analysis in a Lotka–Volterra competition–diffusion–advection model with time delay effect *
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Publication:4990898
DOI10.1088/1361-6544/abe77azbMath1465.35046OpenAlexW3162438288MaRDI QIDQ4990898
Publication date: 1 June 2021
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/1361-6544/abe77a
Stability in context of PDEs (35B35) Periodic solutions to PDEs (35B10) Reaction-diffusion equations (35K57) Partial functional-differential equations (35R10) Ecology (92D40) Bifurcations in context of PDEs (35B32) Initial-boundary value problems for second-order parabolic systems (35K51)
Related Items (7)
Hopf bifurcation analysis in a diffusive predator-prey system with spatial heterogeneity and delays ⋮ Dynamics of a diffusion-advection Lotka-Volterra competition model with stage structure in a spatially heterogeneous environment ⋮ Hopf bifurcation in a reaction-diffusion-advection two species model with nonlocal delay effect ⋮ Hopf bifurcation and periodic solutions in a coupled Brusselator model of chemical reactions ⋮ Hopf bifurcation in a two-species reaction-diffusion-advection competitive model with nonlocal delay ⋮ Stability and Hopf bifurcation in a prey-predator model with memory-based diffusion ⋮ Hopf bifurcation in a Lotka-Volterra competition-diffusion-advection model with time delay
Cites Work
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- 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
- Can spatial variation alone lead to selection for dispersal?
- Spatially nonhomogeneous equilibrium in a reaction-diffusion system with distributed delay
- 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
- Models of individual aggregation or clustering in single and multi- species communities
- Movement toward better environments and the evolution of rapid diffusion
- Hopf bifurcation in a diffusive Lotka-Volterra type system with nonlocal delay effect
- Evolution of conditional dispersal: a reaction-diffusion-advection model
- The evolution of conditional dispersal strategies in spatially heterogeneous habitats
- Semigroups of linear operators and applications to partial differential equations
- The evolution of slow dispersal rates: a reaction diffusion model
- Theory of functional differential equations. 2nd ed
- Elements of applied bifurcation theory.
- Stability and Hopf bifurcation for a delay competition diffusion system.
- Global dynamics of a Lotka-Volterra competition-diffusion-advection system in heterogeneous environments
- Global dynamics of the Lotka-Volterra competition-diffusion system with equal amount of total resources. III
- Existence and uniqueness of a Lotka-Volterra reaction-diffusion model with advection term
- Global dynamics of a classical Lotka-Volterra competition-diffusion-advection system
- Stability and Hopf bifurcation in a diffusive logistic population model with nonlocal delay effect
- Theory and applications of partial functional differential equations
- Does movement toward better environments always benefit a population?
- Stability and Hopf bifurcation for a population delay model with diffusion effects
- Ecological models, permanence and spatial heterogeneity
- Bifurcation analysis for a delayed diffusive logistic population model in the advective heterogeneous environment
- Global stability of nonhomogeneous steady-state solution in a Lotka-Volterra competition-diffusion-advection model
- Global dynamics of the diffusive Lotka-Volterra competition model with stage structure
- Hopf bifurcation in a reaction-diffusive two-species model with nonlocal delay effect and general functional response
- Hopf bifurcation and stability of a competition diffusion system with distributed delay
- Global Dynamics of the Lotka-Volterra Competition-Diffusion System: Diffusion and Spatial Heterogeneity I
- Mathematical Models in Population Biology and Epidemiology
- Spatial Ecology via Reaction‐Diffusion Equations
- Uniqueness and Complete Dynamics in Heterogeneous Competition-Diffusion Systems
- Normal forms and Hopf bifurcation for partial differential equations with delays
- Advection-mediated coexistence of competing species
- Analytic semigroups and optimal regularity in parabolic problems
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