Ergodicity for a class of pure-jump population systems

doi:10.3969/j.issn.1000-5641.2024.02.001

Journal of East China Normal University(Natural Science) ›› 2024, Vol. 2024 ›› Issue (2): 1-13.doi: 10.3969/j.issn.1000-5641.2024.02.001

• Mathematics •

Ergodicity for a class of pure-jump population systems

Zhenzhong ZHANG¹(), Yeqin CHEN¹, Huiyuan LIU², Xinping LI³, Xin ZHAO¹

1. College of Science, Donghua University, Shanghai　201620, China
2. School of Statistics and Mathematics, Shanghai Lixin University of Accounting and Finance, Shanghai　201209, China
3. School of Mathematics, Hunan Institute of Science and Technology, Yueyang, Hunan　414006, China

Received:2022-10-30 Online:2024-03-25 Published:2024-03-18

Abstract

Abstract:

To characterize the effects of stochastic environment and major mutation factors on populations, we consider a class facultative population system based on Markov chains and pure-jump stable processes. First of all, the existence and uniqueness of a global positive solution of the proposed model is discussed. Then, sufficient conditions for ergodicity are specified. Finally, conditions for positive recurrence of the model are presented.

Key words: α-stable processes, Markov chains, ergodicity, positive recurrence

CLC Number:

O211.63

Zhenzhong ZHANG, Yeqin CHEN, Huiyuan LIU, Xinping LI, Xin ZHAO. Ergodicity for a class of pure-jump population systems[J]. Journal of East China Normal University(Natural Science), 2024, 2024(2): 1-13.

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Ergodicity for a class of pure-jump population systems

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