The Mathematics of Infectious Diseases
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Summary
Threshold theorems involving the basic reproduction number, the contact number, and the replacement number R are reviewed for classic SIR epidemic and endemic models and results with new expressions for R_0 are obtained for MSEIR and SEIR endemic models with either continuous age or age groups.
- Type
- article
- Published
- 2000-12-01
- Cited by
- 6,552
- References
- 193
- OpenAlex
- https://openalex.org/W2161728228
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:10836889
Keywords
Measles, Basic reproduction number, Age structure, Mathematics, Epidemic model
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- Analysis of SIR epidemic models with nonlinear incidence rate and treatment.
- Parameter estimation and uncertainty quantification for an epidemic model.
- Effects of behavioral changes and mixing patterns in mathematical models for smallpox epidemics
- Estimates of Social Contact in a Middle School Based on Self-Report and Wireless Sensor Data
- Mathematical Model of Three Age-Structured Transmission Dynamics of Chikungunya Virus
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