Stochastic dynamical analysis in a hybrid bioeconomic system with telephone noise and distributed delay

被引：7

作者：

Liu, Chao ^{[1
,2
,3
]}

Wang, Luying ^{[1
,2
]}

He, Daihai ^{[4
]}

Li, Mingwei ^{[1
]}

机构：

[1] Northeastern Univ, Inst Syst Sci, Shenyang, Peoples R China

[2] State Key Lab Integrated Automat Proc Ind, Shenyang, Peoples R China

[3] York Univ, Dept Math & Stat, Toronto, ON, Canada

[4] Hong Kong Polytech Univ, Dept Appl Math, Hong Kong, Peoples R China

来源：

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2020年 / 357卷 / 08期

基金：

加拿大自然科学与工程研究理事会; 中国国家自然科学基金;

关键词：

PREDATOR-PREY MODEL; BAM NEURAL-NETWORKS; DOUBLE TIME DELAYS; STATIONARY DISTRIBUTION; EXPONENTIAL STABILITY; COMPLEX DYNAMICS; LOGISTIC MODEL; ERGODICITY; EXTINCTION; THRESHOLD;

D O I：

10.1016/j.jfranklin.2020.04.017

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, a hybrid stochastic prey -predator system with commercial exploitation and distributed delay is established, where combined dynamic effects of telephone noise and Levy jumps on stochastic population dynamics are taken into accounts. Stochastically ultimate boundedness of the solution is studied. Existence and uniqueness of globally positive solution to the proposed system are investigated. By constructing appropriate stochastic Lyapunov functions, existence of a stationary distribution to the positive solution is discussed. Furthermore, sufficient conditions for permanence in mean and extinction of corresponding population are derived. Numerical simulations are carried out to show consistency with theoretical analysis. (c) 2020 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

引用

页码：4922 / 4948

页数：27

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