Quantitative analysis and model simplification of an epidemic model with primary and secondary infection
| Autor: | C. R. Webb, J. E. Truscott, Christopher A. Gilligan |
|---|---|
| Rok vydání: | 2000 |
| Předmět: |
Pharmacology
Mathematical optimization Process (engineering) Ecology General Mathematics General Neuroscience Secondary infection Immunology Fungi Models Immunological Biology Chenopodiaceae General Biochemistry Genetics and Molecular Biology Disease Outbreaks Identification (information) Computational Theory and Mathematics Quantitative analysis (finance) General Agricultural and Biological Sciences Epidemic model General Environmental Science Simple (philosophy) Plant Diseases |
| Zdroj: | Bulletin of mathematical biology. 62(2) |
| ISSN: | 0092-8240 |
| Popis: | Models of particular epidemiological systems can rapidly become complicated by biological detail which can obscure their essential features and behaviour. In general, we wish to retain only those components and processes that contribute to the dynamics of the system. In this paper, we apply asymptotic techniques to an SEI-type model with primary and secondary infection in order to reduce it to a much simpler form. This allows the identification of parameter groupings discriminating between regions of contrasting dynamics and leads to simple approximations for the model’s transient behaviour. These can be used to follow the evolution of the developing infection process. The techniques examined in this paper will be applicable to a large number of similar models. |
| Databáze: | OpenAIRE |
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