Global asymptotic stability of non-negative steady states in model ecosystems II. Integro-differential equations

DOI10.1080/00207728408926605zbMath0548.92017OpenAlexW2047728718WikidataQ126248572 ScholiaQ126248572MaRDI QIDQ3340543

Kondalsamy Gopalsamy

Publication date: 1984

Published in: International Journal of Systems Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207728408926605

zbMATH Keywords

Lyapunov functionVolterra integro-differential equationDini derivativenonnegative steady stateinterspecific interaction effectsself-regulating negative feedback effects

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Population dynamics (general) (92D25) Stability theory for integral equations (45M10) Ecology (92D40)

Related Items (2)

Global asymptotic stability in a generalized Lotka-Volterra system ⋮ Global asymptotic stability of a periodic system of delay logistic equations

Cites Work

• Unnamed Item
• Unnamed Item
• On the use of reducible-functional differential equations in biological models
• Lotka-Volterra equations: Decomposition, stability, and structure. Part I: Equilibrium analysis
• Time lags and global stability in two-species competition
• Time delays and chaos in two competing species
• On the behavior of solutions of predator-prey equations with hereditary terms
• Asymptotic stability of a class of integrodifferential systems
• Sector stability of a complex ecosystem model
• The stability of generalized Volterra equations
• Stable oscillations in single species growth models with hereditary effects
• Time delays in n-species competition – I: Global stability in constant environments
• Equations with unbounded delay: a survey
• Limit cycles in two spacies competition with time delays
• Global Stability in Ecological Systems with Continuous Time Delay

This page was built for publication: Global asymptotic stability of non-negative steady states in model ecosystems II. Integro-differential equations