Type reproduction number for epidemic models on heterogeneous networks

Satoru Morita

doi:10.1016/j.physa.2021.126514

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arXiv · 2006.03278

Type reproduction number for epidemic models on heterogeneous networks

Satoru Morita

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Abstract

Infection can spread easily on networks with heterogeneous degree distribution. Here, we considered targeted immunization on such networks, wherein a fraction of individuals with the highest connectivity are immunized. To quantify the effect of this targeted immunization approach on population immunity, we proposed a method using the type reproduction number. Consequently, we derived a precise and simple formula that can yield the immunization threshold, which, to the best of our knowledge, is the first such result presented in the literature.

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Satoru Morita. 2020-06-05. Type reproduction number for epidemic models on heterogeneous networks. https://doi.org/10.1016/j.physa.2021.126514

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