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

Yan, Hairong ¹ ; Li, Jinxian ¹

¹ School of Mathematical Sciences, Shanxi University, Taiyuan, 030006, P.R. China

Journal of nonlinear sciences and its applications, Tome 14 (2021) no. 4, p. 196-211.

Résumé

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.

Détail

DOI : 10.22436/jnsa.014.04.02

Classification : 05C82, 37N25, 92D25
Keywords: SIQR-epidemic, complex network, infection age, non-Markovian transmission and quarantine, epidemic threshold

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