Bifurcation and Chaotic Behavior of a Discrete-Time SIS Model | Zendy

Junhong Li | Zendy; Ning Cui | Zendy

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Bifurcation and Chaotic Behavior of a Discrete-Time SIS Model

Author(s) -

Junhong Li,

Ning Cui

Publication year - 2013

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/2013/705601

Subject(s) - bifurcation diagram , lyapunov exponent , transcritical bifurcation , mathematics , bifurcation , saddle node bifurcation , bogdanov–takens bifurcation , period doubling bifurcation , chaotic , biological applications of bifurcation theory , statistical physics , hopf bifurcation , mathematical analysis , computer science , physics , nonlinear system , artificial intelligence , quantum mechanics

The discrete-time epidemic model is investigated, which is obtained using the Euler method. It is verified that there exist some dynamical behaviors in this model, such as transcritical bifurcation, flip bifurcation, Hopf bifurcation, and chaos. The numerical simulations, including bifurcation diagrams and computation of Lyapunov exponents, not only show the consistence with the theoretical analysis but also exhibit the rich and complex dynamical behaviors

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