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

Zengyun Hu, Zhidong Teng, Tailei Zhang, Qiming Zhou and Xi Chen

Chaos, Solitons & Fractals, 2017, vol. 99, issue C, 20-31

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.

Keywords: Discrete eco-epidemiological system; Predator-prey; Globally asymptotically stable; Flip bifurcation; Hopf bifurcation; Chaos (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:99:y:2017:i:c:p:20-31

DOI: 10.1016/j.chaos.2017.03.042

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