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The Mathematics of Infectious Diseases

Herbert W. Hethcote · SIAM Review · 2000

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Author / responsible party
Herbert W. Hethcote
Publisher
SIAM Review
Year
2000
Language
English

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Abstract. Many models for the spread of infectious diseases in populations have been analyzed mathematically and applied to specific diseases. Threshold theorems involving the basic reproduction number R0, the contact number σ, and the replacement number R are reviewed for the classic SIR epidemic and endemic models. Similar results with new expressions for R0 are obtained for MSEIR and SEIR endemic models with either continuous age or age groups. Values of R0 and σ are estimated for various diseases including measles in Niger and pertussis in the United States. Previous models with age structure, heterogeneity, and spatial structure are surveyed.

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APA 7

Hethcote, H. W. (2000). The Mathematics of Infectious Diseases. https://doi.org/10.1137/s0036144500371907

MLA

Hethcote, Herbert W. "The Mathematics of Infectious Diseases." 2000. https://doi.org/10.1137/s0036144500371907.

Chicago

Hethcote, Herbert W. 2000. "The Mathematics of Infectious Diseases.". https://doi.org/10.1137/s0036144500371907.

Harvard

Hethcote, H. W. 2000, The Mathematics of Infectious Diseases, SIAM Review, available at: https://doi.org/10.1137/s0036144500371907 [Accessed 7 Aug. 2026].

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Resource details

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Title
The Mathematics of Infectious Diseases
Author / contributors
Herbert W. Hethcote
Publisher
SIAM Review
Publication year
2000
Language
English

Subjects

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Measles; Basic reproduction number; Age structure; Mathematics; Epidemic model; Applied mathematics; Biology; Demography; Virology; Population; Sociology; Vaccination
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