Local exponential stability of several almost periodic positive solutions for a classical controlled GA-predation ecosystem possessed distributed delays

Kaihong Zhao

Applied Mathematics and Computation, 2023, vol. 437, issue C

Abstract: This paper deals with a classical controlled nonlinear almost periodic Gilpin-Ayala (GA) predation ecosystem possessed distributed delays. The existence of only two zeros of a class of auxiliary functions is obtained in R. On this basis, the multiplicity of almost periodic positive solutions for this ecosystem is investigated by some inequality techniques and theory of nonlinear analysis. Based on Lyapunov stability theory, we prove that this ecosystem is locally exponentially stable. A numerical example and simulation examine the correctness of our primary outcomes.

Keywords: GA-Predation ecosystem; Distributed delay; Multiplicity and local stability; Inequality technique; Lyapunov stability theory (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:437:y:2023:i:c:s0096300322006142

DOI: 10.1016/j.amc.2022.127540

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