|本期目录/Table of Contents|

[1]李江,魏春金.具有恐惧效应的随机捕食-食饵模型动力学[J].集美大学学报(自然科学版),2023,28(5):397-406.
　LI Jiang,WEI Chunjin.Dynamics of a Stochastic Predator-Prey Model with Fear Factor[J].Journal of Jimei University,2023,28(5):397-406.
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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5期
页码:
397-406
栏目:
数理科学与信息工程
出版日期:
2023-09-28

文章信息/Info

Title:
Dynamics of a Stochastic Predator-Prey Model with Fear Factor
作者:
李江; 魏春金
集美大学理学院，福建 厦门 361021
Author(s):
LI Jiang; WEI Chunjin
School of Science,Jimei University,Xiamen 361021,Chin
关键词:
研究具有恐惧效应的随机捕食食饵模型。证明对于任意给定的初始值; 系统都存在唯一的全局正解; 应用随机微分方程的比较定理; 得到系统的平均持续生存与灭绝的充分条件; 证明系统存在唯一的平稳分布且具有遍历性。最后; 通过数值模拟来验证主要结果。
Keywords:
predator-prey model; fear factor; existence and uniqueness of global positive solution; stationary distribution; persistence; extinction
分类号:
-
DOI:
-
文献标志码:
A
摘要:
捕食-食饵模型；恐惧效应；全局正解的存在唯一性；平稳分布；持久；灭绝
Abstract:
In this paper,the dynamics of a stochastic predator-prey model with fear factor were investigated.First of all,it was proved that there was a unique positive global solution starting from any given initial value.Then,sufficient conditions for extinction and persistence in mean were obtained by comparison theorem for stochastic differential equations.In addition,it was proved that there were unique stationary distribution and they are ergodic.Finally,some numerical simulations were introduced to verify the main results.

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更新日期/Last Update: 2024-01-05