Microscopic Numerical Simulations of Epidemic Models on Networks

Yutaka Okabe and Akira Shudo
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Yutaka Okabe: Department of Physics, Tokyo Metropolitan University, Hachioji, Tokyo 192-0397, Japan
Akira Shudo: Department of Physics, Tokyo Metropolitan University, Hachioji, Tokyo 192-0397, Japan

Mathematics, 2021, vol. 9, issue 9, 1-19

Abstract: Mathematical models of the spread of epidemic diseases are studied, paying special attention to networks. We treat the Susceptible-Infected-Recovered (SIR) model and the Susceptible-Exposed-Infectious-Recovered (SEIR) model described by differential equations. We perform microscopic numerical simulations for corresponding epidemic models on networks. Comparing a random network and a scale-free network for the spread of the infection, we emphasize the role of hubs in a scale-free network. We also present a simple derivation of the exact solution of the SIR model.

Keywords: epidemic model; SIR model; SEIR model; exact solution; network theory; Erdös-Rényi network; Barabási-Albert network (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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