|本期目录/Table of Contents|

[1]林紫嫣,魏春金,张树文.具有Markov切换和偏利关系的捕食-食饵模型[J].集美大学学报(自然科学版),2023,28(4):366-375.
　LIN Ziyan,WEI Chunjin,ZHANG Shuwen.Predator-Prey System with Markov Switching and Partial Benefit Relationship[J].Journal of Jimei University,2023,28(4):366-375.
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《集美大学学报（自然科学版）》[ISSN:1007-7405/CN:35-1186/N]

卷:
第28卷
期数:
2023年第4期
页码:
366-375
栏目:
数理科学与信息工程
出版日期:
2023-07-28

文章信息/Info

Title:
Predator-Prey System with Markov Switching and Partial Benefit Relationship
作者:
林紫嫣; 魏春金; 张树文
（集美大学理学院，福建 厦门 361021）
Author(s):
LIN Ziyan; WEI Chunjin; ZHANG Shuwen
(School of Science,Jimei University,Xiamen 361021,China)
关键词:
捕食-食饵系统; Markov切换; 灭绝; 平均持续生存; 平稳分布; 遍历性
Keywords:
predator-prey system; Markov switching; extinction; persistent in the mean; stationary distribution; ergodicity
分类号:
-
DOI:
-
文献标志码:
A
摘要:
研究具有Markov切换的含偏利关系的随机捕食食饵模型的动力学。通过构造Lyapunov函数，证明该系统的全局正解的存在唯一性，并且给出种群平均持续生存和灭绝的充分条件；证明系统存在唯一的平稳分布且具有遍历性。最后，通过数值模拟来证实理论结果。
Abstract:
The dynamics of a stochastic predator-prey system with Markov switching and partial benefit relationship were investigated.By constructing Lyapunov functions,it was shown that the model had a global positive solution.Sufficient conditions of the system to be extinct and persistent in mean were also established.Then it was found that the system had a unique stationary distribution and ergodicity.Finally,some numerical simulations were provided to demonstrate the result.

参考文献/References:

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备注/Memo

备注/Memo:
更新日期/Last Update: 2023-11-05