Extinction Analysis of Stochastic Predator-Prey System with Stage Structure and Crowley-Martin Functional Response

被引：14

作者：

Xu, Conghui ^{[1
]}

Ren, Guojian ^{[1
]}

Yu, Yongguang ^{[1
]}

机构：

[1] Beijing Jiaotong Univ, Sch Sci, Beijing 100044, Peoples R China

来源：

ENTROPY | 2019年 / 21卷 / 03期

基金：

北京市自然科学基金;

关键词：

predator-prey system; stochastically ultimate boundedness; stochastic extinction; Brownian motion; Crowley-Martin functional response; BIFURCATION-ANALYSIS; PERIODIC-SOLUTION; HOPF-BIFURCATION; MODEL; PERMANENCE; STABILITY; DYNAMICS;

D O I：

10.3390/e21030252

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, we researched some dynamical behaviors of a stochastic predator-prey system, which is considered under the combination of Crowley-Martin functional response and stage structure. First, we obtained the existence and uniqueness of the global positive solution of the system. Then, we studied the stochastically ultimate boundedness of the solution. Furthermore, we established two sufficient conditions, which are separately given to ensure the stochastic extinction of the prey and predator populations. In the end, we carried out the numerical simulations to explain some cases.

引用

页数：13

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