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

Qinglong Wang and Zhijun Liu

Mathematics and Computers in Simulation (MATCOM), 2017, vol. 138, issue C, 65-77

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.

Keywords: Competitive system; Time scales; Almost periodic solution; Uniformly asymptotic stability (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:138:y:2017:i:c:p:65-77

DOI: 10.1016/j.matcom.2016.09.016

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