Ergodicity for population dynamics driven by stable processes with Markovian switching

Jinying Tong, Xuan Ma, Zhenzhong Zhang and Enwen Zhu

Communications in Statistics - Theory and Methods, 2019, vol. 48, issue 10, 2446-2458

Abstract: In this paper, we consider ergodicity and transience for Lotka–Volterra model driven by α-stable processes ( α∈(1,2)) with Markovian switching. Sufficient conditions for ergodicity and extinction of such model are given. Two examples are given to illustrate our results.

Date: 2019
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DOI: 10.1080/03610926.2018.1465089

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