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Literature DB >> 15940539

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

M G M Gomes¹, A Margheri, G F Medley, C Rebelo.

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.

Entities: Disease

Mesh：

Year: 2005 PMID： 15940539 DOI： 10.1007/s00285-005-0331-9

Source DB: PubMed Journal: J Math Biol ISSN： 0303-6812 Impact factor: 2.259

17 in total

1. How should pathogen transmission be modelled?

Authors: H McCallum; N Barlow; J Hone
Journal: Trends Ecol Evol Date: 2001-06-01 Impact factor: 17.712

2. Dose-response relationships for foot and mouth disease in cattle and sheep.

Authors: N P French; L Kelly; R Jones; D Clancy
Journal: Epidemiol Infect Date: 2002-04 Impact factor: 2.451

3. Infection, reinfection, and vaccination under suboptimal immune protection: epidemiological perspectives.

Authors: M Gabriela M Gomes; Lisa J White; Graham F Medley
Journal: J Theor Biol Date: 2004-06-21 Impact factor: 2.691

4. Some epidemiological models with nonlinear incidence.

Authors: H W Hethcote; P van den Driessche
Journal: J Math Biol Date: 1991 Impact factor: 2.259

5. On the definition and the computation of the basic reproduction ratio R0 in models for infectious diseases in heterogeneous populations.

Authors: O Diekmann; J A Heesterbeek; J A Metz
Journal: J Math Biol Date: 1990 Impact factor: 2.259

6. Hepatitis-B virus endemicity: heterogeneity, catastrophic dynamics and control.

Authors: G F Medley; N A Lindop; W J Edmunds; D J Nokes
Journal: Nat Med Date: 2001-05 Impact factor: 53.440

7. Pathogenesis and diagnosis of infections with Mycobacterium bovis in cattle. Independent Scientific Group on Cattle TB.

Authors: W I Morrison; F J Bourne; D R Cox; C A Donnelly; G Gettinby; J P McInerney; R Woodroffe
Journal: Vet Rec Date: 2000-02-26 Impact factor: 2.695

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

1. How should pathogen transmission be modelled?

2. Dose-response relationships for foot and mouth disease in cattle and sheep.

3. Infection, reinfection, and vaccination under suboptimal immune protection: epidemiological perspectives.

4. Some epidemiological models with nonlinear incidence.

5. On the definition and the computation of the basic reproduction ratio R0 in models for infectious diseases in heterogeneous populations.

6. Hepatitis-B virus endemicity: heterogeneity, catastrophic dynamics and control.

7. Pathogenesis and diagnosis of infections with Mycobacterium bovis in cattle. Independent Scientific Group on Cattle TB.

8. Excretion of Mycobacterium bovis by experimentally infected cattle.

9. Dose-dependent infection rates of parasites produce the Allee effect in epidemiology.

10. Effect of subclinical infection on maintaining immunity against measles in vaccinated children in West Africa.

1. Backward bifurcations and multiple equilibria in epidemic models with structured immunity.

2. The pluses and minuses of R0.

3. Rotavirus within day care centres in Oxfordshire, UK: characterization of partial immunity.

4. Classification of different Hepatitis B infected individuals with saturated incidence rate.