Asymptotic properties of a stochastic Gilpin-Ayala model under regime switching
نویسندگان
چکیده
In this paper, we consider a stochastic Gilpin-Ayala population model with Markovian switching and white noise. All parameters are influenced by stochastic perturbations. We analyze the existence of global positive solution, asymptotic stability in probability, pth moment exponential stability, extinction, weak persistence, stochastic permanence and stationary distribution of the model, which generalize the results in the literatures. Moreover, the conditions presented for the stochastic permanence and the existence of stationary distribution improve those of Liu et. al (2011, 2012, 2015).
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