The ergodicity of population dynamics driven by truncated α-stable processes

doi:10.3969/j.issn.1000-5641.2025.06.001

J* E* C* N* U* N* S* ›› 2025, Vol. 2025 ›› Issue (6): 1-13.doi: 10.3969/j.issn.1000-5641.2025.06.001

The ergodicity of population dynamics driven by truncated α-stable processes

Zhenzhong ZHANG¹(), Xiaofan GU¹, Junbo TONG², Xin ZHAO¹, Xinping LI³

1. School of Mathematics and Statistics, Donghua University, Shanghai　201620, China
2. Number One Middle School of Loudi, Loudi, Hunan　417000, China
3. School of Mathematics, Hunan Institute of Science and Technology, Yueyang, Hunan　414006, China

Received:2024-03-11 Online:2025-11-25 Published:2025-11-29

Abstract

Abstract:

In order to study the dynamic behavior of biological populations in complex environments, we consider an n-dimensional population model driven by a truncated α-stable process. First of all, a generalized Khasminskii theorem for pure jump systems has been established. Then, the regular points such a system are discussed. Finally, we give a sufficient criterion to verify ergodicity for such a pure jump population dynamic system.

Key words: stationary distribution, regular point, truncated α-stable processes

CLC Number:

O211.63

Zhenzhong ZHANG, Xiaofan GU, Junbo TONG, Xin ZHAO, Xinping LI. The ergodicity of population dynamics driven by truncated α-stable processes[J]. J* E* C* N* U* N* S*, 2025, 2025(6): 1-13.

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The ergodicity of population dynamics driven by truncated α-stable processes

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