On the definition and the computation of the basic reproduction ratio \(R_ 0\) in models for infectious diseases in heterogeneous populations

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DOI10.1007/BF00178324zbMath0726.92018OpenAlexW2041572706WikidataQ34155650 ScholiaQ34155650MaRDI QIDQ803082

J. A. P. Heesterbeek, J. A. J. (Hans) Metz, Odo Diekmann

Publication date: 1990

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00178324

zbMATH Keywords

spectral radius positive operator basic reproduction ratio invasion sexually transmitted diseases age-dependent models expected infectivity next-generation operator separable mixing rate threshold criterion weighted homogeneous mixing

Mathematics Subject Classification ID

Epidemiology (92D30) Eigenvalue problems for linear operators (47A75)

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