Existence and stability of periodic solutions in a multi-species GA predator-prey system with multiple delays on time scales

Authors
  • Mengjiao Feng

    School of Mathematics Southwest Jiaotong University Chengdu, Sichuan 610031, P. R. China

  • Junyilang Zhao

    School of Mathematics Southwest Jiaotong University Chengdu, Sichuan 610031, P. R. China

Keywords:
Gilpin Ayala predator prey system, time scales, periodic solution, Global asymptotic stability
Abstract
This paper studies the existence and stability of periodic solutions for a multi-species Gilpin-Ayala (GA) predator-prey system with multiple delays on time scales. By applying Mawhin’s coincidence degree theory and inequality techniques, the existence of periodic solutions for the system is proved. On this basis, the stability of the periodic solutions is established by using Lyapunov stability theory. Finally, a numerical example is provided to verify the validity of the obtained conclusions.
References

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Additional Files
Published
25-12-2025
Section
Research Article
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Copyright (c) 2025 Mengjiao Feng, Junyilang Zhao

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This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Existence and stability of periodic solutions in a multi-species GA predator-prey system with multiple delays on time scales. (2025). Letters on Applied and Pure Mathematics, 3(1), 49-65. https://doi.org/10.66147/lapm.20253130

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