Journal of East China Normal University(Natural Science) >

2025 , Vol. 2025 >Issue 1: 1 - 12

DOI: https://doi.org/10.3969/j.issn.1000-5641.2025.01.001

Mathematics

Ergodicity for population dynamics driven by a class of $\alpha $ -stable process with negative jumps

  • Jinying TONG ,
  • Ziyi LIANG ,
  • Wenze CHEN ,
  • Zhenzhong ZHANG ,
  • Xin ZHAO
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  • 1. School of Mathematics and Statistics, Donghua University, Shanghai　201620, China
    2. Shanghai Engineering Research Center of Artificial Intelligence Network, Shanghai　201203, China

Received date: 2024-01-07

  Online published: 2025-01-20

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, 2025, Copyright reserved © 2025.
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Abstract

In order to characterize that stochastic environment, we consider a class facultative population systems driven by Markov chains and pure-jump stable processes with negative jumps. To begin with, the existence and uniqueness for global positive solution is proved for our model. Then, some sufficient conditions for stationary distribution are provided.

Key words： $\alpha $ -stable processes; Markov chains; ergodicity; negative jumps

Cite this article

Jinying TONG , Ziyi LIANG , Wenze CHEN , Zhenzhong ZHANG , Xin ZHAO . Ergodicity for population dynamics driven by a class of $\alpha $ -stable process with negative jumps[J]. Journal of East China Normal University(Natural Science), 2025 , 2025(1) : 1 -12 . DOI: 10.3969/j.issn.1000-5641.2025.01.001

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