2013•Basic Sciences Journal of Textile UniversitiesRequires access

Global analysis of an epidemic model with nonlinear incidence rate

Zhang Hon

Abstract

Assuming that latent and infected individuals have infectivity and infected individuals have lifelong immunity after recovery of the disease.An infectious disease models was built with a class of nonlinear infectious rate(γaE/(1+bEn)+λaI/(1+bIn)),the basic reproduction number was got that if the disease will become endemic diseases,as well as discussion on the global stability of the disease-free equilibrium and the endemic equilibrium.

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Key concepts: Basic reproduction number, Infectious disease (medical specialty), Infectivity, Epidemic model, Nonlinear system, Disease, Mathematics, Biology