Global asymptotic stability for predator-prey systems whose prey receives time-variation of the environment

DOI10.1090/S0002-9939-2011-11124-9zbMath1229.34075OpenAlexW1989142550WikidataQ115545929 ScholiaQ115545929MaRDI QIDQ3093434

Yasuhisa Saito, Meng Fan, Jitsuro Sugie

Publication date: 17 October 2011

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-2011-11124-9

zbMATH Keywords

global asymptotic stabilitypredator-prey systemsweakly integrally positivetime-variation

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Qualitative investigation and simulation of ordinary differential equation models (34C60) Global stability of solutions to ordinary differential equations (34D23) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items

Dynamics of a delayed predator-prey model with predator migration, On global asymptotic stability of the equilibrium of ``predator-prey system in varying environment, Alternative Resource and Harvesting in Predator-prey Dynamics: Analyzing a Delay Model, Global asymptotic stability for predator-prey models with environmental time-variations, Convergence of solutions of nonlinear systems with integrable forcing term and its applications to a biological model, Uniform global asymptotic stability of time-varying Lotka-Volterra predator-prey systems, Asymptotic behaviour for prey-predator systems and logistic equations with unbounded time-dependent coefficients, A necessary and sufficient condition for global asymptotic stability of time-varying Lotka-Volterra predator-prey systems

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