[1]蓝桂杰,付盈洁,魏春金,等.具有非线性食饵收获的随机捕食-食饵模型[J].集美大学学报(自然版),2018,23(5):385-394.
 LAN Guijie,FU Yingjie,WEI Chunjin,et al.A Stochastic Predator-Prey Model with Nonlinear Prey Harvesting[J].Journal of Jimei University,2018,23(5):385-394.
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具有非线性食饵收获的随机捕食-食饵模型()
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《集美大学学报(自然版)》[ISSN:1007-7405/CN:35-1186/N]

卷:
第23卷
期数:
2018年第5期
页码:
385-394
栏目:
数理科学与信息工程
出版日期:
2018-09-28

文章信息/Info

Title:
A Stochastic Predator-Prey Model with Nonlinear Prey Harvesting
作者:
蓝桂杰付盈洁魏春金张树文
(集美大学理学院,福建 厦门 361021)
Author(s):
LAN GuijieFU YingjieWEI ChunjinZHANG Shuwen
(School of Science,Jimei University,Xiamen 361021,China)
关键词:
捕食-食饵系统收获随机持久平稳分布
Keywords:
predator-prey systemharvestingstochastic permanencestationary distribution
文献标志码:
A
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。
Abstract:
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 initial value were established,and it was shown that the positive solution to the stochastic system was stochastically bounded.Moreover,sufficient conditions for stochastically permanence and extinction were obtained.Secondly,it was proved that there exists a unique stationary distribution and it has ergodicity by constructing a suitable Lyapunov function.Finally,numerical simulations were carried out to substantiate the analytical results.

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更新日期/Last Update: 2018-11-08