Limiting structure of steady-states to the Lotka-Volterra competition model with large diffusion and advection
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Publication:2254058
DOI10.1016/j.jde.2014.11.016zbMath1308.35091OpenAlexW2020396009MaRDI QIDQ2254058
Publication date: 4 February 2015
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2014.11.016
singular perturbationbifurcationdegreereaction-diffusion-advection systemnonlocal constraintlevelset analysis
Ecology (92D40) Singular perturbations of ordinary differential equations (34D15) Bifurcations in context of PDEs (35B32) Boundary value problems for functional-differential equations (34K10) Boundary value problems for second-order elliptic systems (35J57)
Related Items (21)
Dynamical transition for a 3-component Lotka-Volterra model with diffusion ⋮ Stationary solutions and spatial-temporal dynamics of a shadow system of LV competition models ⋮ Boundedness and persistence of populations in advective Lotka-Volterra competition system ⋮ Bifurcations in a diffusive predator-prey model with Beddington-DeAngelis functional response and nonselective harvesting ⋮ Qualitative analysis of stationary Keller-Segel chemotaxis models with logistic growth ⋮ Global structure of steady-states to the full cross-diffusion limit in the Shigesada-Kawasaki-Teramoto model ⋮ Reaction-advection-diffusion competition models under lethal boundary conditions ⋮ Dynamic transitions for the S-K-T competition system ⋮ On the multi-dimensional advective Lotka-Volterra competition systems ⋮ Bifurcation structure of coexistence states for a prey–predator model with large population flux by attractive transition ⋮ Stationary solutions of advective Lotka-Volterra models with a weak Allee effect and large diffusion ⋮ Local dynamics and coexistence of predator-prey model with directional dispersal of predator ⋮ Bifurcation structure of stationary solutions for a chemotaxis system with bistable growth ⋮ Stability and bifurcation in a diffusive Lotka-Volterra system with delay ⋮ Steady-states of a Leslie-Gower model with diffusion and advection ⋮ Bifurcation analysis of a diffusive predator-prey system with nonmonotonic functional response ⋮ Bifurcation and stability of a two-species reaction-diffusion-advection competition model ⋮ Stationary solutions for some shadow system of the Keller-Segel model with logistic growth ⋮ Global well-posedness of advective Lotka–Volterra competition systems with nonlinear diffusion ⋮ Bifurcation and stability of a two-species diffusive Lotka-Volterra model ⋮ Bifurcation structures of a Leslie-Gower model with diffusion and advection
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