Bifurcations of a discrete-time SIR epidemic model with logistic growth of the susceptible individuals

作     者：Z.Eskandari R.Khoshsiar Ghaziani Z.Avazzadeh 

作者机构：Department of MathematicsFaculty of Science Fasa UniversityFasaIran Department of Mathematical Sciences Shahrekord UniversityShahrekordIran Department of Mathematical Sciences University of South AfricaFloridaSouth Africa 

出 版 物：《International Journal of Biomathematics》 (生物数学学报（英文版）)

年 卷 期：2023年第16卷第6期

页      面：289-312页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

主　　题：SIR epidemic model stability,bifurcation critical normal form coefficient numerical continuation method 

摘      要：This study focuses on the stability and local bifurcations of a discrete-time SIR epidemic model with logistic growth of the susceptible individuals analytically,and *** analytical results are obtained using thenormal form technique and numerical results are obtained using the numerical continuation *** this model,a number of bifurcations are studied,including the transcritical(pitchfork)and fip bifurcations,the Neimark-Sacker(NS)bifurcations,and the strong resonance *** especially determine the dynamical behaviors of the model for higher iterations up to *** simulation is employed to present a closed invariant curve emerging about an NS point,and its breaking down to several closed invariant curves and eventuality giving rise to a chaotic strange attractor by increasing the bifurcation parameter.