Type reproduction number for epidemic models on heterogeneous networks

Satoru Morita

Physica A: Statistical Mechanics and its Applications, 2022, vol. 587, issue C

Abstract: Infection can spread easily on networks with heterogeneous degree distributions. 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 literature.

Keywords: Complex networks; Epidemiological model; Basic reproduction number; Immunization (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:587:y:2022:i:c:s0378437121007871

DOI: 10.1016/j.physa.2021.126514

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