Stability in the mean of a stochastic three species food chain model with general Levy jumps

被引：10

作者：

Zeng, Ting ^{[1
]}

Teng, Zhidong ^{[1
]}

Li, Zhiming ^{[1
]}

Hu, Junna ^{[1
]}

机构：

[1] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Peoples R China

来源：

CHAOS SOLITONS & FRACTALS | 2018年 / 106卷

关键词：

Stochastic food chain model; Levy jumps; Stability in the mean; SIS EPIDEMIC MODEL; DYNAMICS; NOISE; SYSTEMS;

D O I：

10.1016/j.chaos.2017.10.025

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A stochastic three species food chain model with general Levy jumps is investigated in the paper. The criterion on the global stability in the mean with probability one for each species is established. The results show that the dynamics of the model can be significantly changed by Levy jumps, and strongly indicate that the general jump N (dt, du) is more complicated than compensated jump (N) over tilde (dt, du). (c) 2017 Elsevier Ltd. All rights reserved.

引用

页码：258 / 265

页数：8

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