Global dynamics of a Lotka-Volterra competition-diffusion system in advective homogeneous environments

DOI10.1016/j.jde.2020.01.011zbMath1445.35201OpenAlexW3001237282WikidataQ126328708 ScholiaQ126328708MaRDI QIDQ1989444

De Tang, Yuming Chen

Publication date: 22 April 2020

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2020.01.011

zbMATH Keywords

global stabilityprincipal eigenvaluesteady statehomogeneous environmentcompetition-diffusion-advection

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61) Initial-boundary value problems for second-order parabolic systems (35K51) Monotone flows as dynamical systems (37C65)

Related Items (16)

Predator-prey systems in open advective heterogeneous environments with Holling-Tanner interaction term ⋮ A diffusion-advection predator-prey model with a protection zone ⋮ Dynamical analysis of a competition‐diffusion‐advection system with Dirichlet boundary conditions ⋮ Evolution of dispersal in advective homogeneous environments ⋮ Dynamical Behavior of a Lotka-Volterra Competitive System From River Ecology ⋮ Dynamics of Lotka-Volterra competition patch models in streams with two branches ⋮ Evolution of Dispersal in Advective Homogeneous Environments: Inflow Versus Outflow ⋮ Global dynamics of a two-species competition model in advective homogeneous environments ⋮ Existence of the positive steady states of a reaction-diffusion-advection competition model ⋮ Hopf bifurcation of a delayed reaction-diffusion model with advection term ⋮ Global Dynamics of a Lotka--Volterra Competition-Diffusion System in Advective Heterogeneous Environments ⋮ Positive solution branches of two-species competition model in open advective environments ⋮ GLOBAL DYNAMICS OF A POPULATION MODEL FROM RIVER ECOLOGY ⋮ Global dynamics of a two-species Lotka-Volterra competition-diffusion-advection system with general carrying capacities and intrinsic growth rates. II: Different diffusion and advection rates ⋮ A Spatiotemporal Model for the Effects of Toxicants on Populations in a Polluted River ⋮ Global dynamics of a general competitive reaction-diffusion-advection system in one dimensional environments

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