Globally asymptotically stable analysis in a discrete time eco-epidemiological system

被引：14

作者：

Hu, Zengyun ^{[1
,2
]}

Teng, Zhidong ^{[3
]}

Zhang, Tailei ^{[4
]}

Zhou, Qiming ^{[2
]}

Chen, Xi ^{[1
]}

机构：

[1] Chinese Acad Sci, Xinjiang Inst Ecol & Geog, State Key Lab Desert & Oasis Ecol, Urumqi 830011, Peoples R China

[2] Hong Kong Baptist Univ Kowloon Tong, Dept Geog, Kowloon, Hong Kong, Peoples R China

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

[4] Changan Univ, Sch Sci, Xian 710064, Peoples R China

来源：

CHAOS SOLITONS & FRACTALS | 2017年 / 99卷

关键词：

Discrete eco-epidemiological system; Predator-prey; Globally asymptotically stable; Flip bifurcation; Hopf bifurcation; Chaos; PREDATOR-PREY MODEL; BIFURCATION-ANALYSIS; COMPLEX DYNAMICS; DISEASE; CHAOS; SIS; POPULATION; STABILITY; EPIDEMICS;

D O I：

10.1016/j.chaos.2017.03.042

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this study, the dynamical behaviors of a discrete time eco-epidemiological system are discussed. The local stability, bifurcation and chaos are obtained. Moreover, the global asymptotical stability of this system is explored by an iteration scheme. The numerical simulations illustrate the theoretical results and exhibit the complex dynamical behaviors such as flip bifurcation, Hopf bifurcation and chaotic dynamical behaviors. Our main results provide an efficient method to analyze the global asymptotical stability for general three dimensional discrete systems. (C) 2017 Elsevier Ltd. All rights reserved.

引用

页码：20 / 31

页数：12

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