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
收藏
页码：414 / 430
页数：17
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