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Existence and stability of positive almost periodic solutions for a competitive system on time scales

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  • Wang, Qinglong
  • Liu, Zhijun

Abstract

This paper concerns with the asymptotic behaviors of an almost periodic competitive system on time scales. By employing time scale calculus theory and Lyapunov functional method, a good understanding of the existence and uniformly asymptotic stability of unique positive almost periodic solution of the system is obtained. Also, two examples together with their numerical simulations illustrate the feasibilities of our analytical results.

Suggested Citation

  • Wang, Qinglong & Liu, Zhijun, 2017. "Existence and stability of positive almost periodic solutions for a competitive system on time scales," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 138(C), pages 65-77.
    • Handle: RePEc:eee:matcom:v:138:y:2017:i:c:p:65-77
    DOI: 10.1016/j.matcom.2016.09.016
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    Cited by:

    1. Pachpatte, Deepak B., 2019. "Properties of certain iterated dynamic integrodiffetential equation on time scales," Applied Mathematics and Computation, Elsevier, vol. 346(C), pages 767-775.

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