Dynamics of a stochastic delayed predator-prey system with regime switching and jumps

被引：2

作者：

Shao, Yuanfu ^{[1
]}

Zhao, Jinxing ^{[2
]}

机构：

[1] Guilin Univ Technol, Sch Math & Stat, Guilin 541004, Guangxi, Peoples R China

[2] Inner Mongolia Univ, Sch Math Sci, Hohhot 010021, Peoples R China

来源：

RESEARCH IN THE MATHEMATICAL SCIENCES | 2024年 / 11卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Regime switching; L & eacute; vy jumps; Extinctive; Persistent in mean; Stochastic permanence; EXPONENTIAL STABILITY; POPULATION-DYNAMICS; STABILIZATION; PERSISTENCE; PERMANENCE; BEHAVIOR; MODEL;

D O I：

10.1007/s40687-024-00480-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, a stochastic predator-prey system with regime switching and L & eacute;vy jumps is formulated. First, the extinction and persistence in mean of each species are investigated by use of the stochastic differential comparison theorem and some stochastic inequalities. Second, the sufficient criteria for the stochastic permanence are established by constructing some Lyapunov functionals. In the end, simulation examples are given to illustrate the theoretical results and reveal the impacts of regime switching, distributed time delays and L & eacute;vy jumps on the dynamics, respectively.

引用

页数：22

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