Analysis of a stochastic hybrid population model with Allee effect

被引：48

作者：

Liu, Meng ^{[1
]}

Deng, Meiling ^{[1
]}

机构：

[1] Huaiyin Normal Univ, Sch Math Sci, Huaian 223300, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2020年 / 364卷

关键词：

Allee effect; Regime switching; Stability; SINGLE-SPECIES MODEL; GLOBAL ATTRACTIVITY; DYNAMICS; PERMANENCE; ERGODICITY; EXTINCTION; CHEMOSTAT; SURVIVAL; BEHAVIOR; EQUATION;

D O I：

10.1016/j.amc.2019.124582

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This research formulates and studies a stochastic population model with Allee effect and Markovian switching. Sufficient criteria for extinction, stochastic permanence and the existence of a unique ergodic invariant measure of the model are established. The result indicates that these long term behaviors of the model are intimately associated with the random perturbations. (C) 2019 Elsevier Inc. All rights reserved.

引用

页数：10

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