Dynamics Analysis of a Stochastic Delay Gilpin-Ayala Model with Markovian Switching

Qiaoqin Gao, Zhijiang Luo and Guirong Liu

Discrete Dynamics in Nature and Society, 2019, vol. 2019, 1-15

Abstract:

This paper considers a stochastic delay Gilpin-Ayala model with Markovian switching. Using Lyapunov method, we show existence and uniqueness of global positive solution. Then, by using Chebyshev’s inequality, - matrix method, and BDG’s inequality, stochastic permanence and asymptotic estimations of solutions are studied. Finally, numerical simulations illustrate the theoretical results. Our results generalize and improve the existing results.

Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:1302648

DOI: 10.1155/2019/1302648

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