收稿日期: 2022-10-30
网络出版日期: 2024-03-18
基金资助
国家自然科学基金(12171081); 上海市自然科学基金(23ZR1402600); 国家社会科学基金(21BGL188); 湖南省教育厅科研项目(22C0365); 上海市启明星计划扬帆专项(22YF1400900); 东华大学虚拟仿真实验教学项目; 东华大学一流本科课程(DHYLA-2022-23); 东华大学偏微分方程示范教研室(SFJYS2021-05)
Ergodicity for a class of pure-jump population systems
Received date: 2022-10-30
Online published: 2024-03-18
张振中 , 陈业勤 , 刘慧媛 , 李新平 , 赵馨 . 一类纯跳种群系统的遍历性[J]. 华东师范大学学报(自然科学版), 2024 , 2024(2) : 1 -13 . DOI: 10.3969/j.issn.1000-5641.2024.02.001
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
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