Global asymptotic stability of Lotka-Volterra competition reaction-diffusion systems with time delays

DOI10.1016/j.mcm.2010.08.022zbMath1211.35041OpenAlexW2076815893MaRDI QIDQ534845

Yuan-Ming Wang

Publication date: 10 May 2011

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2010.08.022

zbMATH Keywords

reaction-diffusion systemextinctiontime delaysglobal asymptotic stabilityLotka-Volterra competition

Mathematics Subject Classification ID

Epidemiology (92D30) Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (7)

Numerical solutions of a three-competition Lotka-Volterra system ⋮ Dynamic Analysis of a Reaction–Diffusion Rumor Propagation Model ⋮ Spatially nonhomogeneous equilibrium in a reaction-diffusion system with distributed delay ⋮ Periodic solutions for the degenerate Lotka-Volterra competition system ⋮ Implicit-explicit time discretization coupled with finite element methods for delayed predator-prey competition reaction-diffusion system ⋮ Optimal parametric iteration method for solving multispecies Lotka-Volterra equations ⋮ Almost periodic solutions of nonautonomous Lotka–Volterra competitive systems with dominated delays

Cites Work

• Delay differential equations: with applications in population dynamics
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• Systems of parabolic equations with continuous and discrete delays
• Theory and applications of partial functional differential equations
• Coupled nonlinear parabolic systems with time delays
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• Global asymptotic stability of Lotka-Volterra competition systems with diffusion and time delays
• On neutral-delay two-species Lotka-Volterra competitive systems
• Asymptotic behavior of a competition—diffusion system in population dynamics
• Stable Coexistence States in the Volterra–Lotka Competition Model with Diffusion
• Nonlinear elliptic boundary-value problems in unbounded domains
• Convergence of solutions of reaction-diffusion systems with time delays
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