Dynamical analysis of a competition‐diffusion‐advection system with Dirichlet boundary conditions

DOI10.1002/mma.9027OpenAlexW4313656667MaRDI QIDQ6139295

Qing Ge

Publication date: 18 December 2023

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.9027

zbMATH Keywords

principal eigenvalueLotka-Volterra systemco-existencecompetition-diffusion-advectioncompetition exclusion principle

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Population dynamics (general) (92D25)

Cites Work

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• Global dynamics of the Lotka-Volterra competition-diffusion system with equal amount of total resources. II
• 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?
• Global stability of nonhomogeneous equilibrium solution for the diffusive Lotka-Volterra competition model
• The evolution of slow dispersal rates: a reaction diffusion model
• Elliptic partial differential equations of second order
• 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
• Evolution of passive movement in advective environments: general boundary condition
• Global dynamics of a classical Lotka-Volterra competition-diffusion-advection system
• Spatial heterogeneity of resources versus Lotka-Volterra dynamics
• Competition of three species in an advective environment
• How flow speed alters competitive outcome in advective environments
• Global dynamics of a Lotka-Volterra competition-diffusion system in advective homogeneous environments
• On a Lotka-Volterra competition-diffusion-advection system: homogeneity vs heterogeneity
• Dynamical behavior for a Lotka-Volterra weak competition system in advective homogeneous environment
• Evolution of dispersal in advective homogeneous environment: the effect of boundary conditions
• Evolution of a semilinear parabolic system for migration and selection without dominance
• On Lotka-Volterra competitive parabolic systems: exclusion, coexistence and bistability
• Global Dynamics of the Lotka-Volterra Competition-Diffusion System: Diffusion and Spatial Heterogeneity I
• Evolution of dispersal in closed advective environments
• Spatial Ecology via Reaction‐Diffusion Equations
• Competitive exclusion and coexistence for competitive systems on ordered Banach spaces
• A Spatiotemporal Model for the Effects of Toxicants on Populations in a Polluted River
• On a Competition-Diffusion-Advection System from River Ecology: Mathematical Analysis and Numerical Study

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