Dynamical behaviour of epidemiological models with sub-optimal immunity and non...

• Autor(es): Gomes, M. G. M. ; Margheri, A. ; Medley, G. F. ; Rebelo, C.
• Data: 2005
• Identificador Persistente: http://hdl.handle.net/10400.7/51
• Origem: ARCA - Access to Research and Communication Annals
• Assunto(s): Models, Biological; Epidemiology/statistics & numerical data; Nonlinear Dynamics; Models, Immunological
• Tipo de Documento: Artigo
• Idioma: Inglês

Descrição

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