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Dynamical behaviour of epidemiological models with sub-optimal immunity and nonlinear incidence

By M. G. M. Gomes, A. Margheri, G. F. Medley and C. Rebelo


In this paper we analyze the dynamics of two families of epidemiological models which correspond to transitions from the SIR (susceptible-infectious-resistant) to the SIS (susceptible-infectious-susceptible) frameworks. In these models we assume that the force of infection is a nonlinear function of density of infectious individuals, I. Conditions for the existence of backwards bifurcations, oscillations and Bogdanov-Takens points are give

Topics: Models, Biological, Epidemiology/statistics & numerical data, Nonlinear Dynamics, Models, Immunological
Year: 2009
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