Global asymptotic stability for predator-prey models with environmental time-variations

DOI10.1016/j.aml.2011.05.015zbMath1229.92079OpenAlexW2089051308WikidataQ115598031 ScholiaQ115598031MaRDI QIDQ654231

Juan-Miguel Gracia

Publication date: 28 December 2011

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2011.05.015

zbMATH Keywords

weakly integrally positive

Mathematics Subject Classification ID

Probabilistic models, generic numerical methods in probability and statistics (65C20) Ecology (92D40) Global stability of solutions to ordinary differential equations (34D23) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (5)

On global asymptotic stability of the equilibrium of ``predator-prey system in varying environment ⋮ A necessary and sufficient condition for global asymptotic stability of time-varying Lotka-Volterra predator-prey systems ⋮ Bifurcation behaviours in a delayed three-species food-chain model with Holling type-II functional response ⋮ On the global asymptotic stability of the equilibrium of the Lotka-Volterra equations in a varying environment ⋮ Delay-induced oscillations in a competitor-competitor-mutualist Lotka-Volterra model

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• On the asymptotic stability for a two-dimensional linear nonautonomous differential system
• Asymptotic stability for three-dimensional linear differential systems with time-varying coefficients

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