Global dynamics of a Lotka–Volterra competitive system from river ecology: general boundary conditions

DOI10.1088/1361-6544/ab60d8zbMath1430.35135OpenAlexW3005739663MaRDI QIDQ5216277

De Tang, Fang Fang Xu, Wenzhen Gan

Publication date: 17 February 2020

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1361-6544/ab60d8

zbMATH Keywords

stabilitymonotone dynamical systemscoexistence steady state

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Dynamical systems in biology (37N25) 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) Monotone flows as dynamical systems (37C65)

Related Items (5)

Dynamical behavior of a spatiotemporal model in open advective environments ⋮ On the role of advection in a spatial epidemic model with general boundary conditions ⋮ Global Dynamics of a Lotka--Volterra Competition-Diffusion System in Advective Heterogeneous 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 ⋮ Global dynamics of a general competitive reaction-diffusion-advection system in one dimensional environments

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Evolution of dispersal in open advective environments
• Qualitative analysis for a Lotka-Volterra competition system in advective homogeneous environment
• On a Lotka-Volterra competition model: the effects of advection and spatial variation
• On a Lotka-Volterra competition system: diffusion vs advection
• Can spatial variation alone lead to selection for dispersal?
• The evolution of slow dispersal rates: a reaction diffusion model
• Global dynamics of a Lotka-Volterra competition-diffusion-advection system in heterogeneous environments
• Global dynamics of a two species competition model in open stream environments
• Evolution of passive movement in advective environments: general boundary condition
• On a Lotka-Volterra type competition model from river ecology
• Global dynamics of a classical Lotka-Volterra competition-diffusion-advection system
• Population dynamics and evolution in river ecosystems
• Evolution of dispersal in advective homogeneous environment: the effect of boundary conditions
• Evolution of dispersal in closed advective environments
• Principal eigenvalue and eigenfunctions of an elliptic operator with large advection and its application to a competition model
• Spatial Ecology via Reaction‐Diffusion Equations
• Effects of diffusion and advection on the smallest eigenvalue of an elliptic operator and their applications

This page was built for publication: Global dynamics of a Lotka–Volterra competitive system from river ecology: general boundary conditions