环境污染下Lotka-Volterra随机捕食模型的周期解  

Periodic Solution of Lotka-Volterra Stochastic Predator-Prey Model in a Polluted Environment

作　　者：张寅秋 吕广迎 焦君君 ZHANG Yinqiu;LV Guangying;JIAO Junjun(College of Mathematics and Statistics,Nanjing University of Information Science&Technology,Nanjing,210044,China;School of Mathematics and Statistics,Henan University of Science and Technology,Luoyang,471023,China)

机构地区：[1]南京信息工程大学数学与统计学院,南京210044 [2]河南科技大学数学与统计学院,洛阳471023

出　　处：《应用概率统计》2023年第3期333-346,共14页Chinese Journal of Applied Probability and Statistics

基　　金：国家自然科学基金面上项目(批准号:11771123、12171247)资助.

摘　　要：本文主要研究了环境污染下的Lotka-Volterra随机捕食模型.得到了周期解的存在性和全局吸引性.更进一步,我们给出了非平凡正周期解存在以及全局吸引性的充分条件.最后,数值模拟验证了我们的结果.In this paper,the Lotka-Volterra stochastic predator-prey systems in a polluted environment is considered.The existence and global attractivity of the periodic solutions are obtained.Furthermore,we obtain the sucient conditions for the existence and global attractivity of a nontrivial positive periodic solution.Finally,simulations verify our analytical results.

关 键 词：随机过程 周期解 全局吸引性 

分 类 号：O212.1[理学—概率论与数理统计]