Global exponential stability of positive periodic solution of the n-species impulsive Gilpin–Ayala competition model with discrete and distributed time delays

DOI10.1080/17513758.2018.1467048zbMath1448.92263OpenAlexW2801934699WikidataQ88602811 ScholiaQ88602811MaRDI QIDQ3300944

Kaihong Zhao

Publication date: 31 July 2020

Published in: Journal of Biological Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17513758.2018.1467048

zbMATH Keywords

Lyapunov functionalglobal exponential stabilityfixed point theorem on conesdiscrete and distributed time delaysimpulsive Gilpin-Ayala competition model

Mathematics Subject Classification ID

Functional-differential equations with impulses (34K45) Population dynamics (general) (92D25) Stability theory of functional-differential equations (34K20) Periodic solutions to functional-differential equations (34K13)

Related Items (5)

Mathematical study of a resource-based diffusion model with Gilpin-Ayala growth and harvesting ⋮ Local exponential stability of four almost-periodic positive solutions for a classic Ayala-Gilpin competitive ecosystem provided with varying-lags and control terms ⋮ Analysis of a stochastic competitive model with saturation effect and distributed delay ⋮ On periodic solutions of delay differential equations with impulses ⋮ Local exponential stability of several almost periodic positive solutions for a classical controlled GA-predation ecosystem possessed distributed delays

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