Threshold dynamics and pulse control of a stochastic ecosystem with switching parameters

被引：10

作者：

Zhang, Hongxia ^{[1
]}

Liu, Xinzhi ^{[2
]}

Xu, Wei ^{[1
]}

机构：

[1] Northwestern Polytech Univ, Dept Appl Math, Xian 710072, Peoples R China

[2] Univ Waterloo, Dept Appl Math, Waterloo, ON N2L 3G1, Canada

来源：

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2021年 / 358卷 / 01期

基金：

中国国家自然科学基金; 加拿大自然科学与工程研究理事会;

关键词：

ADAPTIVE FUZZY CONTROL; REGIME SHIFTS; SYSTEMS; STABILITY; MODELS; DESIGN; NOISE;

D O I：

10.1016/j.jfranklin.2020.10.035

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper studies the stochastic dynamic behaviors and pulse control strategy for a vegetation ecosystem with switching parameters. First, a novel stochastic switching ecosystem is built by the variable perturbation, where the parameters are assumed to be time-varying functions. Then, based on the stochastic Ito formula and the theory of switched system, a sufficient condition of vegetation extinction in mean sense is established in detail, which provides a warning of the ecological degradation. Furthermore, in order to prevent ecological degradation, an achievable pulse control scheme is proposed, and the effectiveness of the pulse control is proved. Several numerical simulations are given to illustrate the developed threshold theorems and pulse control scheme. (C) 2020 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

引用

页码：516 / 532

页数：17

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