一类具有负跳的a-稳定过程驱动的种群模型的遍历性  

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

作　　者：童金英 梁子翼 陈文泽 张振中 赵馨 TONG Jinying;LIANG Ziyi;CHEN Wenze;ZHANG Zhenzhong;ZHAO Xin(School of Mathematics and Statistics,Donghua University,Shanghai 201620,China;Shanghai Engineering Research Center of Artificial Intelligence Network,Shanghai 201203,China)

机构地区：[1]东华大学数学与统计学院,上海201620 [2]上海人工智能网络系统工程技术研究中心,上海201203

出　　处：《华东师范大学学报(自然科学版)》2025年第1期1-12,共12页Journal of East China Normal University(Natural Science)

基　　金：国家自然科学基金(12171081);上海市自然科学基金(23ZR1402600);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。

摘　　要：为拟合随机环境与重大因素的影响,基于马氏链与带负跳α-稳定过程,建立了一类种群互惠模型.首先,证明了该种群模型具有全局正解性;其次,给出了该模型的遍历性的充分条件.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.

关 键 词：α-稳定过程 马氏链 遍历性 负跳 

分 类 号：O211.63[理学—概率论与数理统计]