|本期目录/Table of Contents|

[1]陈哲文,魏春金,张树文.具有心理效应的随机扰动捕食-食饵模型[J].集美大学学报(自然科学版),2020,25(1):69-75.
　CHEN Zhewen,WEI Chunjin,ZHANG Shuwen.Analysis of a Predator-Prey Model with Random Perturbations and Psychological Effects[J].Journal of Jimei University,2020,25(1):69-75.
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《集美大学学报（自然科学版）》[ISSN:1007-7405/CN:35-1186/N]

卷:
第25卷
期数:
2020年第1期
页码:
69-75
栏目:
数理科学与信息工程
出版日期:
2020-01-28

文章信息/Info

Title:
Analysis of a Predator-Prey Model with Random Perturbations and Psychological Effects
作者:
陈哲文; 魏春金; 张树文
(集美大学理学院,福建 厦门 361021)
Author(s):
CHEN Zhewen; WEI Chunjin; ZHANG Shuwen
(School of Science,Jimei University,Xiamen 361021,China)
关键词:
捕食-食饵系统; Lyapunov函数; 平均持续生存; 灭绝; 随机扰动; 心理效应
Keywords:
predator-prey system; Lyapunov functions; persistent in mean; extinct; random perturbation; psychological effect
分类号:
-
DOI:
-
文献标志码:
-
摘要:
考虑了具有心理效应的随机扰动捕食〖KG-*3〗-〖KG-*5〗食饵模型。通过构造Lyapunov函数证明系统的全局正解的存在唯一性,并且给出了系统平均持续生存和灭绝的充分条件。最后,通过数值模拟来证实理论结果。
Abstract:
In this paper,a predator-prey model with random perturbations and psychological effects was considered.It was shown that there exists a unique positive solution of the system by constructing Lyapunov functions.Sufficient conditions of the system to be extinct and persistent in mean were also established.Finally,numerical simulations were given to illustrate the theoretical results.

参考文献/References:

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备注/Memo

备注/Memo:
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更新日期/Last Update: 2020-04-17