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

被引：43

作者：

Gomes, MGM

Margheri, A

Medley, GF

Rebelo, C

机构：

[1] Gulbenkian Inst Sci, P-2781901 Oeiras, Portugal

[2] Fac Ciencias Lisboa, P-1649003 Lisbon, Portugal

[3] Ctr Matemat & Aplicacoes Fundamentais, P-1649003 Lisbon, Portugal

[4] Univ Warwick, Dept Biol Sci, Ecol & Epidemiol Grp, Coventry CV4 7AL, W Midlands, England

来源：

JOURNAL OF MATHEMATICAL BIOLOGY | 2005年 / 51卷 / 04期

关键词：

D O I：

10.1007/s00285-005-0331-9

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

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.

引用

页码：414 / 430

页数：17

共 27 条

[1] Periodicity in an epidemic model with a generalized non-linear incidence [J].