On Gopalsamy and Liu's conjecture for global stability in a population model

DOI10.1016/j.cam.2004.11.017zbMath1065.92034OpenAlexW2067219053WikidataQ123257234 ScholiaQ123257234MaRDI QIDQ557716

Yoshiaki Muroya, Yoshiko Kato

Publication date: 30 June 2005

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2004.11.017

zbMATH Keywords

Asymptotic stabilityGlobal asymptotic stabilityLogistic equation with a piecewise constant delay

Mathematics Subject Classification ID

Related Items (9)

New contractivity condition in a population model with piecewise constant arguments ⋮ Multiple bifurcations in an early brain tumor model with piecewise constant arguments ⋮ An affirmative answer to Gopalsamy and Liu's conjecture in a population model ⋮ Global stability of nonautonomous logistic equations with a piecewise constant delay ⋮ Method of Lyapunov functions for differential equations with piecewise constant delay ⋮ An affirmative answer to the extended Gopalsamy and Liu's conjecture on the global asymptotic stability in a population model ⋮ Global asymptotic stability beyond 3/2 type stability for a logistic equation with piecewise constant arguments ⋮ Asymptotic behavior of solutions of differential equations with piecewise constant arguments ⋮ A sufficient condition for the global asymptotic stability of a class of logistic equations with piecewise constant delay

Cites Work

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• Certain systems with piecewise constant feedback controls with a time delay
• Stability results for delayed-recruitment models in population dynamics
• The dynamics of density dependent population models
• Persistence and global stability in a population model
• Global stability and chaos in a population model with piecewise constant arguments
• Persistence, contractivity and global stability in logistic equations with piecewise constant delays
• Period doubling and Chaotic behavior of solutions to y^′t) μy(t)(1 − y(δ[(t+α)/δ))]
• Occurrence of Chaos in Higher-Dimensional Discrete-Time Systems
• Global attractivity for a logistic equation with piecewise constant argument

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