Type reproduction number for epidemic models on heterogeneous networks

2020/06/05 by Satoru Morita · 1 citation
Biochemistry, Genetics and Molecular Biology · Mathematics · Physics and Astronomy · #Basic reproduction number #Biology #COVID-19 epidemiological studies #Complex Network Analysis Techniques #Computer science #Demography #Ecology #Fraction (chemistry) #Immune system #Immunization #Immunology #Opinion Dynamics and Social Influence #Population #Reproduction #Simple (philosophy) #Sociology #physics.soc-ph #q-bio.PE

paper · pdf · doi:10.1016/j.physa.2021.126514

published in Physica A Statistical Mechanics and its Applications 587, 126514 (Elsevier BV) · 4 pages, 1 fingure

arxiv created 2020/06/05 · openalex publication_date 2021/10/13 · arxiv updated 2021/11/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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.

Citations

• Emergence of scaling in random networks
• Epidemic Spreading in Scale-Free Networks
• Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
• The construction of next-generation matrices for compartmental epidemic models
• Statistical mechanics of complex networks