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

• Author(s): Gomes, M. G. M. ; Margheri, A. ; Medley, G. F. ; Rebelo, C.
• Date: 2005
• Persistent ID: http://hdl.handle.net/10400.7/51
• Origin: ARCA - Access to Research and Communication Annals
• Subject(s): Models, Biological; Epidemiology/statistics & numerical data; Nonlinear Dynamics; Models, Immunological
• Document Type: Article
• Language: English

Description

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