带直接扩散的随机捕食-食饵模型动力学研究  

Dynamical Study of Stochastic Predator-Prey Model Carrying Direct Diffusion

作　　者：韦东 祖力[1] WEI Dong;ZU Li(School of Mathematics arid Statistics,Hainan Normal University,Haikou 571158,China)

机构地区：[1]海南师范大学数学与统计学院,海南海口571158

出　　处：《海南师范大学学报（自然科学版）》2018年第3期322-330,共9页Journal of Hainan Normal University（Natural Science）

基　　金：海南省研究生创新研究项目(Hys2017-136);海南省高等学校科学研究项目(Hnky2017ZD-14)

摘　　要：考虑了n个不同斑块环境下,带直接扩散的随机捕食-食饵模型的动力学性质。通过构造不同的李雅普诺夫函数,获得了随机系统正解的存在唯一性结果,并且对该结果进行有界性分析,给出了食饵种群以及整个系统灭绝的充分条件。最后,对所有定理结论进行数值模拟分析。The dynamical analysis of stochastic predator prey model carrying direct diffusion in n different patch environments was considered and analyzed. By constructing different Lyapunov functions, the existence and uniqueness of a positive solution in the stochastic system were obtained and analyzed with boundedness. The sufficient conditions for the extinction of the prey population and whole system were provided. At last, the conclusions of all theorems were analyzed through numerical simulation.

关 键 词：白噪声 环境噪声 最终有界 灭绝性 

分 类 号：O715.1[理学—晶体学]