Asymptotic Analysis of Epidemics on Networks

Driven partly by cyber-security issues there is growing interest in modelling epidemics on networks. However it turns out that there are some gaps in the formulation of these network models that have precluded a proper study of stochastic fluctuations. The author revisits some popular models, rectif...

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Bibliographic Details
Published inJournal of systems science and complexity Vol. 38; no. 1; pp. 338 - 348
Main Author Solo, Victor
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.02.2025
Springer Nature B.V
Subjects
Asymptotic properties
Complex Systems
Control
Cybersecurity
Epidemics
Mathematics
Mathematics and Statistics
Mathematics of Computing
Operations Research/Decision Theory
Statistics
Systems Theory
Epidemic
Markov process
mean field theory
stochastic stability
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ISSN1009-6124
1559-7067
DOI10.1007/s11424-025-4395-x

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Summary:Driven partly by cyber-security issues there is growing interest in modelling epidemics on networks. However it turns out that there are some gaps in the formulation of these network models that have precluded a proper study of stochastic fluctuations. The author revisits some popular models, rectify their shortcomings and then develops an asymptotic analysis of their behaviour.
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ISSN:1009-6124
1559-7067
DOI:10.1007/s11424-025-4395-x