Time Evolution of the Spread of Diseases with a General Infectivity Profile on a Complex Dynamic Network

2010/05/21 by Bahman Davoudi, Davoudi, B., Babak Pourbohloul +1
Biochemistry, Genetics and Molecular Biology · Mathematics · Physics and Astronomy · #COVID-19 epidemiological studies #Complex Network Analysis Techniques #Evolution and Genetic Dynamics #FOS: Physical sciences #Statistical Mechanics (cond-mat.stat-mech)

paper · pdf · doi:10.48550/arxiv.1005.4097

openalex publication_date 2010/05/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This manuscript introduces a new analytical approach for studying the time evolution of disease spread on a finite size network. Our methodology can accommodate any disease with a general infectivity profile. This new approach is able to incorporate the impact of a general intervention - at the population level - in a number of different ways. Below, we discuss the details of the equations involved and compare the outcomes of analytical calculation against simulation results. We conclude with a discussion of possible extensions of this methodology.

Citations

• SIR dynamics in random networks with heterogeneous connectivity

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