Epidemiological models with parametric heterogeneity: deterministic theory for closed populations (Q2911343)
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scientific article; zbMATH DE number 6074652
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Epidemiological models with parametric heterogeneity: deterministic theory for closed populations |
scientific article; zbMATH DE number 6074652 |
Statements
30 August 2012
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heterogeneous populations
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SIR model
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distributed susceptibility
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final epidemic size
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heterogeneous contact structure
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power law transmission function
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Epidemiological models with parametric heterogeneity: deterministic theory for closed populations (English)
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This paper intends to present a unified approach to handle the parametric heterogeneity in population dynamics and dynamics of infection diseases. In particular, an SIR model with distributed susceptibility and infectivity is formulated and analyzed by this approach, and a number of known results from literature is re-produced. The paper concludes with a number of ``open questions'', together with some ``promising directions'' in which, the author believes that, the theory of heterogeneous population scan lead to important simplifications and generalizations.
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