Asymptotic properties of a stochastic Gilpin–Ayala model under regime switching. (May 2019)

• Record Type: Journal Article
• Authors: Wang, Kai; Zhu, Yanling
• Is Part Of: Nonlinear analysis. Volume 32(2019)
• Page Start: 79
• Page End: 90
• Publication Date: 2019-05
• Subjects: 60H10 -- 60J60 -- 92D25; Global positive solution -- Weak persistence -- Extinction -- Stationary distribution; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nahs.2018.10.011
• Languages: English
• ISSNs: 1751-570X

Abstract

Abstract: In this paper, a stochastic Gilpin–Ayala population model with regime switching and white noise is considered. All parameters are influenced by stochastic perturbations. The existence of global positive solution, asymptotic stability in probability, p th moment exponential stability, extinction, weak persistence, stochastic permanence and stationary distribution of the model are investigated, which generalize some results in the literatures. Moreover, the conditions presented for the stochastic permanence and the existence of stationary distribution improve the previous results.