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Literature DB >> 2384720

Threshold and stability results for an age-structured epidemic model.

Abstract

We study a mathematical model for an epidemic spreading in an age-structured population with age-dependent transmission coefficient. We formulate the model as an abstract Cauchy problem on a Banach space and show the existence and uniqueness of solutions. Next we derive some conditions which guarantee the existence and uniqueness for non-trivial steady states of the model. Finally the local and global stability for the steady states are examined.

Mesh：

Year: 1990 PMID： 2384720 DOI： 10.1007/bf00178326

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

7 in total

Review 1. Threshold and stability results for an epidemic model with an age-structured meeting rate.

Authors: D Greenhalgh
Journal: IMA J Math Appl Med Biol Date: 1988

2. Epidemiological models with age structure, proportionate mixing, and cross-immunity.

Authors: C Castillo-Chavez; H W Hethcote; V Andreasen; S A Levin; W M Liu
Journal: J Math Biol Date: 1989 Impact factor: 2.259

3. Analytical results on the stability of age-structured recurrent epidemic models.

Authors: D Greenhalgh
Journal: IMA J Math Appl Med Biol Date: 1987

4. Analytical threshold and stability results on age-structured epidemic models with vaccination.

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5. Proportionate mixing models for age-dependent infection transmission.

Authors: K Dietz; D Schenzle
Journal: J Math Biol Date: 1985 Impact factor: 2.259

6. An age-structured model of pre- and post-vaccination measles transmission.

Authors: D Schenzle
Journal: IMA J Math Appl Med Biol Date: 1984

7. Age-related changes in the rate of disease transmission: implications for the design of vaccination programmes.

Authors: R M Anderson; R M May
Journal: J Hyg (Lond) Date: 1985-06

7 in total

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