Asymptotic behavior of the nonautonomous two-species Lotka-Volterra competition models

DOI10.1016/0898-1221(94)90085-XzbMath0798.92023MaRDI QIDQ1328818

Qiu-Liang Peng, Lan-Sun Chen

Publication date: 7 August 1994

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

positive solutionscomparison theoremglobal asymptotic stabilitynonautonomous two-species Lotka-Volterra competition models

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Population dynamics (general) (92D25) Asymptotic properties of solutions to ordinary differential equations (34D05) Asymptotic theory for ordinary differential equations (34E99)

Related Items (9)

Stability analysis of a prey--predator model with Holling type III response function incorporating a prey refuge ⋮ Asymptotic behaviour of a nonautonomous cooperative system ⋮ Convergence in almost periodic competition diffusion systems ⋮ Asymptotic behaviour of the non-autonomous competing two-species Lotka–Volterra models with impulsive effect ⋮ Permanence and asymptotic behavior of the \(N\)-species nonautonomous Lotka-Volterra competitive systems ⋮ Global asymptotic behavior of a nonautonomous competitor-competitor-mutualist model ⋮ Dynamical analysis of a two prey-one predator system with quadratic self interaction ⋮ PERMANENCE AND GLOBAL STABILITY FOR NONLINEAR DISCRETE MODEL ⋮ On a two species stochastic Lotka-Volterra competition system

Cites Work

• Unnamed Item
• Convergence and ultimate bounds of solutions of the nonautonomous Volterra-Lotka competition equations
• The existence of periodic solutions of systems of differential equations
• An application of topological degree to the periodic competing species problem
• ASYMPTOTIC BEHAVIOR OF A TIME-DEPENDENT SINGLE-SPECIES MODEL
• Exchange of equilibria in two species Lotka-Volterra competition models
• On the Nature of the Spectrum of Singular Second Order Linear Differential Equations

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