Epidemic Transmission Modelling on the Birth-death Evolving Network with Indirect Contacts

Fuente: arXiv
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Main Authors: Feng, Minyu, Li, Yuhan, Kurths, Jürgen
Format: Preprint
Published: 2026
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author Feng, Minyu
Li, Yuhan
Kurths, Jürgen
author_facet Feng, Minyu
Li, Yuhan
Kurths, Jürgen
contents Epidemic modelling on complex networks has been studied intensively all the time. The majority of relative research assumes that the time scale of the underlying network evolution is much larger compared to the propagation dynamics on it, while the co-evolution of epidemics and networks needs exploring further. In this paper, we investigate how our recently proposed birth-death evolving network impacts the Susceptible-Infected-Recovered-Susceptible (SIRS) epidemic process. Our evolving network considers the increase and the heritable deletion of nodes, which enables to depicting individual behaviors during an epidemic, e.g., population migration and indirect contacts. To model the above processes, we construct a Markovian queueing network and perform analyses for the variation of population size of different epidemic states. In simulations, we reveal how the population migration and indirect contacts caused by our network dynamic properties influence the population sizes of each epidemic state, and find that newly-created indirect contacts facilitate epidemic transmission.
format Preprint
id arxiv_https___arxiv_org_abs_2604_10742
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Epidemic Transmission Modelling on the Birth-death Evolving Network with Indirect Contacts
Feng, Minyu
Li, Yuhan
Kurths, Jürgen
Physics and Society
Dynamical Systems
Adaptation and Self-Organizing Systems
Epidemic modelling on complex networks has been studied intensively all the time. The majority of relative research assumes that the time scale of the underlying network evolution is much larger compared to the propagation dynamics on it, while the co-evolution of epidemics and networks needs exploring further. In this paper, we investigate how our recently proposed birth-death evolving network impacts the Susceptible-Infected-Recovered-Susceptible (SIRS) epidemic process. Our evolving network considers the increase and the heritable deletion of nodes, which enables to depicting individual behaviors during an epidemic, e.g., population migration and indirect contacts. To model the above processes, we construct a Markovian queueing network and perform analyses for the variation of population size of different epidemic states. In simulations, we reveal how the population migration and indirect contacts caused by our network dynamic properties influence the population sizes of each epidemic state, and find that newly-created indirect contacts facilitate epidemic transmission.
title Epidemic Transmission Modelling on the Birth-death Evolving Network with Indirect Contacts
topic Physics and Society
Dynamical Systems
Adaptation and Self-Organizing Systems
url https://arxiv.org/abs/2604.10742