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

Gomes, M. G. M.; Margheri, A.; Medley, G. F.; Rebelo, C.

http://hdl.handle.net/10400.7/51

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Abstract(s)

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 given

Keywords

Models, Biological Epidemiology/statistics & numerical data Nonlinear Dynamics Models, Immunological

URI

http://hdl.handle.net/10400.7/51

Citation

Gomes MG, Margheri A, Medley GF, Rebelo C.(2005)."Dynamical behaviour of epidemiological models with sub-optimal immunity and nonlinear incidence".Journal of mathematical biology