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

Zengyun Hu, Zhidong Teng, Tailei Zhang, Qiming ZHOU, Xi Chen*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

8 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)20-31
Number of pages12
JournalChaos, Solitons and Fractals
Volume99
DOIs
Publication statusPublished - 1 Jun 2017

Scopus Subject Areas

  • Statistical and Nonlinear Physics
  • Mathematics(all)
  • Physics and Astronomy(all)
  • Applied Mathematics

User-Defined Keywords

  • Chaos
  • Discrete eco-epidemiological system
  • Flip bifurcation
  • Globally asymptotically stable
  • Hopf bifurcation
  • Predator-prey

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