Global stability for large systems of Volterra-Lotka type integrodifferential population delay equations

DOI10.1016/0362-546X(88)90045-4zbMath0651.45004MaRDI QIDQ3796175

Anthony W. Leung, Zhiming Zhou

Publication date: 1988

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

Lyapunov functionglobal stabilitypopulation dynamicsfood-loopsglobally attracting positive equilibriummonotonically decreasing, concave delay kernelspredator- prey interactionsVolterra-Lotka integrodifferential system

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Population dynamics (general) (92D25)

Related Items (9)

Degenerate Lyapunov functionals of a well-known prey–predator model with discrete delays ⋮ Global asymptotic stability of Lotka-Volterra competition systems with diffusion and time delays ⋮ Global asymptotic stability in a nonautonomous Lotka-Volterra type system with infinite delay ⋮ Periodicity and stability in periodic \(n\)-species Lotka-Volterra competition system with feedback controls and deviating arguments. ⋮ On the Pathwise Growth Rates of Large Fluctuations of Stochastic Population Systems with Infinite Delay ⋮ Periodicity in a generalized ecological competition system governed by impulsive differential equations with delays ⋮ Stochastic Kolmogorov-type population dynamics with infinite distributed delays ⋮ Environmental noise impact on regularity and extinction of population systems with infinite delay ⋮ Stochastic Kolmogorov-Type Population Dynamics with Variable Delay

Cites Work

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• Time delay in prey-predator models
• Periodic solutions for a prey-predator differential delay equation
• On a nonlinear delay equation
• Forward and backward continuation for neutral functional differential equations
• Conditions for Global Stability Concerning a Prey-Predator Model with Delay Effects
• Global asymptotic stability for a class of many-variable volterra prey-predator systems
• Bifurcation of Periodic Solutions of Integrodifferential Systems with Applications to Time Delay Models in Population Dynamics
• A Class of Matrices Connected with Volterra Prey-Predator Equations

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