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Literature DB >> 6619664

Analysis of a model of a vertically transmitted disease.

Abstract

A model is presented of a disease that can be transmitted directly from parent to offspring (vertical transmission) as well as through contact with infectives. A global stability analysis is given for the basic model and the epidemiological effects of vertical transmission are discussed. The effects of the addition of maturation and incubation delays as well as spatial diffusion are analyzed in some special cases.

Mesh：

Year: 1983 PMID： 6619664 DOI： 10.1007/bf00276519

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

4 in total

1. Vectors and vertical transmission: an epidemiologic perspective.

Authors: P E Fine
Journal: Ann N Y Acad Sci Date: 1975 Impact factor: 5.691

2. Towards a quantitative understanding of the epidemiology of Keystone virus in the eastern United States.

Authors: P E Fine; J W LeDuc
Journal: Am J Trop Med Hyg Date: 1978-03 Impact factor: 2.345

3. Global asymptotic stability for a vector disease model with spatial spread.

Authors: P Marcati; M A Pozio
Journal: J Math Biol Date: 1980-04 Impact factor: 2.259

4. Seasonal dynamics of American dog tick, Dermacentor variabilis (Say), populations in southwestern Nova Scotia.

Authors: M B Garvie; J A McKiel; D E Sonenshine; A Campbell
Journal: Can J Zool Date: 1978-01 Impact factor: 1.597

4 in total

9 in total

7. Global dynamics of a novel deterministic and stochastic SIR epidemic model with vertical transmission and media coverage.

Authors: Xiaodong Wang; Chunxia Wang; Kai Wang
Journal: Adv Differ Equ Date: 2020-12-04

8. Dynamical analysis of a stochastic delayed SIR epidemic model with vertical transmission and vaccination.

Authors: Xiaolei Zhang; Maoxing Liu
Journal: Adv Contin Discret Model Date: 2022-04-22

9. Effect of time delay on pattern dynamics in a spatial epidemic model.

Authors: Yi Wang; Jinde Cao; Gui-Quan Sun; Jing Li
Journal: Physica A Date: 2014-07-01 Impact factor: 3.263

9 in total

Analysis of a model of a vertically transmitted disease.

1. Vectors and vertical transmission: an epidemiologic perspective.

2. Towards a quantitative understanding of the epidemiology of Keystone virus in the eastern United States.

3. Global asymptotic stability for a vector disease model with spatial spread.

4. Seasonal dynamics of American dog tick, Dermacentor variabilis (Say), populations in southwestern Nova Scotia.

1. Population models for diseases with no recovery.

2. Analysis of a disease transmission model in a population with varying size.

3. An SIS epidemic model with variable population size and a delay.

4. Population size dependent incidence in models for diseases without immunity.

5. Population dynamics of killing parasites which reproduce in the host.

6. Infection vulnerability stratification risk modelling of COVID-19 data: a deterministic SEIR epidemic model analysis.

7. Global dynamics of a novel deterministic and stochastic SIR epidemic model with vertical transmission and media coverage.

8. Dynamical analysis of a stochastic delayed SIR epidemic model with vertical transmission and vaccination.

9. Effect of time delay on pattern dynamics in a spatial epidemic model.