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Stability analysis of delayed SIR epidemic models with a class of nonlinear incidence rates
Authors:Yoichi Enatsu  Eleonora Messina
Affiliation:a Department of Pure and Applied Mathematics, Waseda University, 3-4-1 Ohkubo, Shinjuku-ku, Tokyo 169-8555, Japan
b Dipartimento di Matematica e Applicazioni, Università degli Studi di Napoli “Federico II”-Via Cintia, I-80126 Napoli, Italy
c Department of Mathematics, Waseda University, 3-4-1 Ohkubo, Shinjuku-ku, Tokyo 169-8555, Japan
d Basque Center for Applied Mathematics, Bizkaia Technology Park, Building 500, E-48160 Derio, Spain
e Ist. per Appl. del Calcolo “M. Picone”, Sede di Napoli-CNR-Via P. Castellino, 111-80131 Napoli, Italy
Abstract:
Keywords:SIR epidemic model   Hopf bifurcation   Global asymptotic stability   Nonlinear incidence rate   Lyapunov functional
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