摘要
研究了具有非线性食饵收获的随机捕食-食饵模型的动力学行为。首先获得对于任意的正初始值,系统都存在唯一的全局正解,并且正解是随机有界的,进而得到了系统的随机持久性、灭绝性的充分条件;其次通过构造Lyapunov函数,证明了系统存在唯一的平稳分布且具有遍历性;最后给出数值模拟来验证本文的主要结果。
In this paper, the dynamics of a stochastic predator-prey system with nonlinear prey harvesting were investigated. First of all, the system admits a unique global positive solution starting from the positive ini- tial value were established, and it was shown that the positive solution to the stochastic system was stochastical- ly bounded. Moreover, sufficient conditions for stochastically permanence and extinction were obtained. Second- ly, it was proved that there exists a unique stational-y distribution and it has ergodicity by constructing a suitable Lyapunov function. Finally, numerical simulations were carried out to substantiate the analytical results.
作者
蓝桂杰
付盈洁
魏春金
张树文
LAN Guijie;FU Yingjie;WEI Chunjin;ZHANG Shuwen(School of Science,Jimei University,Xiamen 361021,China)
出处
《集美大学学报(自然科学版)》
CAS
2018年第5期385-394,共10页
Journal of Jimei University:Natural Science
基金
福建省自然科学基金项目(2016J05012
2016J01667)
关键词
捕食-食饵系统
收获
随机持久
平稳分布
predator-prey system
harvesting
stochastic permanence
stationary distribution