Publicação
Dynamical behaviour of epidemiological models with sub-optimal immunity and nonlinear incidence
| Resumo: | 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 |
|---|---|
| Autores principais: | Gomes, M. G. M. |
| Outros Autores: | Margheri, A.; Medley, G. F.; Rebelo, C. |
| Assunto: | Models, Biological Epidemiology/statistics & numerical data Nonlinear Dynamics Models, Immunological |
| Ano: | 2005 |
| País: | Portugal |
| Tipo de documento: | artigo |
| Tipo de acesso: | acesso aberto |
| Instituição associada: | Repositório do GIMM – Gulbenkian Institute for Molecular Medicine |
| Idioma: | inglês |
| Origem: | ARCA |
| Resumo: | 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 |
|---|