SIQR dynamics in a random network with heterogeneous connections with infection age

Volume 14, Issue 4, pp 196--211 http://dx.doi.org/10.22436/jnsa.014.04.02

Publication Date: December 27, 2020 Submission Date: October 17, 2020 Revision Date: November 27, 2020 Accteptance Date: December 02, 2020

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Authors

Hairong Yan - School of Mathematical Sciences, Shanxi University, Taiyuan, 030006, P.R. China. Jinxian Li - School of Mathematical Sciences, Shanxi University, Taiyuan, 030006, P.R. China.

Abstract

In this paper, an SIQR-Epidemic transmission model of the non-Markovian infection process and quarantine process in a heterogeneous complex network is established, in which the infection rate and quarantine rate are related to infection age. Next, we use the method of characteristics to transform the model into an integro-differential equation and derive the epidemic threshold of the model. Finally, we focus on the impact of three different infection or quarantine time distributions on the disease transmission and show that infection or quarantine time distribution has a significant effect on the disease dynamics.

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Keywords

• SIQR-epidemic
• complex network
• infection age
• non-Markovian transmission and quarantine
• epidemic threshold

MSC

•  05C82
•  37N25
•  92D25

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