一类具有Markov切换和脉冲效应的两种群竞争模型的生存性分析  

Survival Analysis of a Two-species Competitive Model with Markov Switching and Impulsive Effects

作　　者：贺小杰 王清龙 刘志军 HE Xiaojie;WANG Qinglong;LIU Zhijun(School of Mathematics and Statistics,Hubei Minzu University,Enshi 445000,China)

机构地区：[1]湖北民族大学数学与统计学院,湖北恩施445000

出　　处：《湖北民族大学学报（自然科学版）》2022年第4期413-419,共7页Journal of Hubei Minzu University:Natural Science Edition

基　　金：湖北民族大学博士启动基金项目(MY2018B012).

摘　　要：建立了一类具有Markov切换的两种群脉冲随机竞争模型.首先研究了该模型全局唯一正解的存在性.然后通过应用脉冲随机微分方程的相关分析,获得了两种群灭绝和持久的充分条件.最后通过数值例子验证了理论结果的可行性.In this paper,a two-species impulsive stochastic competitive model with Markov switching is considered.Firstly,the existence of a unique global positive solution for this model is investigated.Then,by applying the analysis of impulsive stochastic differential equations,sufficient conditions for the extinction and persistence of the two-species are obtained.Finally,the theoretical results are verified by numerical examples.

关 键 词：种群 竞争模型 Markov切换 脉冲效应 灭绝性 持久性 

分 类 号：O175[理学—数学]