学術雑誌論文 Numerical approximation of the basic reproduction number for a class of age-structured epidemic models

Kuniya, Toshikazu

73pp.106 - 112 , 2017-11 , Elsevier
ISSN:08939659
内容記述
We are concerned with the numerical approximation of the basic reproduction number Ro, which is the well-known epidemiological threshold value defined by the spectral radius of the next generation operator. For a class of age-structured epidemic models in infinite-dimensional spaces, R-0 has the abstract form and cannot be explicitly calculated in general. We discretize the linearized equation for the infective population into a system of ordinary differential equations in a finite n dimensional space and obtain a corresponding threshold value R-0,R-n,R-, which can be explicitly calculated as the positive dominant eigenvalue of the next generation matrix. Under the compactness of the next generation operator, we show that R-o,R-n -> R-0 as n -> +infinity in terms of the spectral approximation theory.
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http://www.lib.kobe-u.ac.jp/repository/90004193.pdf

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