Coexistence in the three species predator--prey model with diffusion

DOI10.1016/S0096-3003(03)00268-6zbMath1026.92045OpenAlexW2091053898WikidataQ114656476 ScholiaQ114656476MaRDI QIDQ1412485

Zhigui Lin, Kwang Ik Kim

Publication date: 25 November 2003

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(03)00268-6

zbMATH Keywords

diffusionnon-constant solutionweakly-coupled elliptic systems

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Ecology (92D40) Qualitative properties of solutions to partial differential equations (35B99)

Related Items (5)

A predator-prey system with stage-structure for predator and nonlocal delay ⋮ Quasilinear parabolic and elliptic systems with mixed quasimonotone functions ⋮ Global attractors of some predator-prey reaction-diffusion systems with density-dependent diffusion and time-delays ⋮ Coexistence of a one-prey two-predators model with ratio-dependent functional responses ⋮ Weak-renormalized solutions for three species competition model in ecology

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Dynamic theory of quasilinear parabolic equations. II: Reaction-diffusion systems
• Large amplitude stationary solutions to a chemotaxis system
• Coexistence in a simple food chain with diffusion
• Diffusion vs cross-diffusion: An elliptic approach
• Coexistence in the competition model with diffusion
• Chaos in one-predator, two-prey models: General results from bifurcation theory
• On \(3\times 3\) Lotka-Volterra competition systems with cross-diffusion
• Diffusion, self-diffusion and cross-diffusion
• Stationary patterns in one-predator, two-prey models.
• Travelling waves for a class of cross-diffusion systems with small parameters
• A counterexample on competing species equations
• On the symbiotic Lotka-Volterra model with diffusion and transport effects
• Global Bifurcation of Positive Solutions in Some Systems of Elliptic Equations
• Dynamics of the lotka-volterra systems with diffusion
• Nonlinear elliptic boundary-value problems in unbounded domains
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
• Diffusion-mediated permanence problem for a heterogeneous Lotka–Volterra competition model
• Decay to Uniform States in Ecological Interactions

This page was built for publication: Coexistence in the three species predator--prey model with diffusion