Global Dynamics of a Lotka--Volterra Competition-Diffusion System in Advective Heterogeneous Environments
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Publication:5156455
DOI10.1137/20M1372639zbMath1476.35053OpenAlexW3179786492MaRDI QIDQ5156455
Publication date: 18 October 2021
Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/20m1372639
global stabilityprincipal eigenvaluesteady stateheterogeneous environmentcompetition-diffusion-advection
Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) Population dynamics (general) (92D25) Initial-boundary value problems for second-order parabolic systems (35K51) Monotone flows as dynamical systems (37C65)
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Predator-prey systems in open advective heterogeneous environments with Holling-Tanner interaction term ⋮ A diffusion-advection predator-prey model with a protection zone ⋮ Population dynamics with resource-dependent dispersal: single- and two-species models ⋮ Stability and bifurcation in a reaction-diffusion-advection predator-prey model ⋮ Threshold stability of an improved IMEX numerical method based on conservation law for a nonlinear advection-diffusion Lotka-Volterra model ⋮ Steady states of a diffusive Lotka-Volterra system with fear effects ⋮ Dynamics of two-species Holling type-II predator-prey system with cross-diffusion ⋮ Dynamics of Lotka-Volterra competition patch models in streams with two branches ⋮ On the role of advection in a spatial epidemic model with general boundary conditions ⋮ Evolution of Dispersal in Advective Homogeneous Environments: Inflow Versus Outflow ⋮ Global dynamics of a two-species competition model in advective homogeneous environments ⋮ Disease transmission dynamics of an epidemiological predator-prey system in open advective environments ⋮ 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
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