Existence of the solutions of a reaction cross-diffusion model for two species

DOI10.1016/J.AML.2017.12.002zbMath1459.35133OpenAlexW2775132084MaRDI QIDQ1996390

Yanyan Li

Publication date: 4 March 2021

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2017.12.002

zbMATH Keywords

cross-diffusioncoexistence solutioncooperative species

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Population dynamics (general) (92D25) Second-order elliptic systems (35J47)

Related Items (2)

Existence and uniqueness of a Lotka-Volterra reaction-diffusion model with advection term ⋮ Bifurcation analysis of a two-species diffusive model

Cites Work

• Stability and bifurcation in a delayed reaction-diffusion equation with Dirichlet boundary condition
• The effects of diffusion and spatial variation in Lotka-Volterra competition-diffusion system. II: The general case
• The effects of diffusion and spatial variation in Lotka-Volterra competition-diffusion system I: Heterogeneity vs. homogeneity
• Bifurcation branch of stationary solutions for a Lotka-Volterra cross-diffusion system in a spatially heterogeneous environment
• Stability of steady-state solutions to a prey--predator system with cross-diffusion.
• Theory and applications of partial functional differential equations
• Deriving reaction-diffusion models in ecology from interacting particle systems
• Positive steady states for prey-predator models with cross-diffusion
• Effect of cross-diffusion on the stationary problem of a diffusive competition model with a protection zone
• Stability and bifurcation in a diffusive Lotka-Volterra system with delay
• Uniqueness and Complete Dynamics in Heterogeneous Competition-Diffusion Systems

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