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

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  • Zhao, Kaihong

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.

Suggested Citation

  • Zhao, Kaihong, 2023. "Local exponential stability of several almost periodic positive solutions for a classical controlled GA-predation ecosystem possessed distributed delays," Applied Mathematics and Computation, Elsevier, vol. 437(C).
    • Handle: RePEc:eee:apmaco:v:437:y:2023:i:c:s0096300322006142
    DOI: 10.1016/j.amc.2022.127540
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    References listed on IDEAS

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    1. Zhang, Guodong & Shen, Yi, 2015. "Periodic solutions for a neutral delay Hassell–Varley type predator–prey system," Applied Mathematics and Computation, Elsevier, vol. 264(C), pages 443-452.
    2. Wang, Jun & Shi, Kaibo & Huang, Qinzhen & Zhong, Shouming & Zhang, Dian, 2018. "Stochastic switched sampled-data control for synchronization of delayed chaotic neural networks with packet dropout," Applied Mathematics and Computation, Elsevier, vol. 335(C), pages 211-230.
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    Cited by:

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