Dynamical behaviour of epidemiological models with sub-optimal immunity and nonlinear incidence.
J Math Biol
; 51(4): 414-30, 2005 Oct.
Article
em En
| MEDLINE
| ID: mdl-15940539
ABSTRACT
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.
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Bases de dados:
MEDLINE
Assunto principal:
Epidemiologia
/
Modelos Biológicos
Tipo de estudo:
Incidence_studies
/
Risk_factors_studies
Limite:
Humans
Idioma:
En
Revista:
J Math Biol
Ano de publicação:
2005
Tipo de documento:
Article
País de afiliação:
Portugal