Type reproduction number for epidemic models on heterogeneous networks

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 immu...

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Bibliographic Details
Published inPhysica A Vol. 587; p. 126514
Main Author Morita, Satoru
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.02.2022
Subjects
Basic reproduction number
Complex networks
Epidemiological model
Immunization
Basic reproduction number
Immunization
Complex networks
Epidemiological model
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Summary: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.
ISSN:0378-4371
1873-2119
DOI:10.1016/j.physa.2021.126514