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具有非线性食饵收获的随机捕食-食饵模型 被引量:1

A Stochastic Predator-Prey Model with Nonlinear Prey Harvesting
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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)
机构地区 集美大学理学院
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
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  • 1王克著..随机生物数学模型[M].北京:科学出版社,2010:300.

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