Optimized Gillespie algorithms for the simulation of Markovian epidemic processes on large and heterogeneous networks

DOI10.1016/j.cpc.2017.06.007zbMath1411.92006arXiv1704.01557OpenAlexW2607443363MaRDI QIDQ1739146

Silvio C. Ferreira, Wesley Cota

Publication date: 25 April 2019

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.01557

zbMATH Keywords

complex networksGillespie algorithmmarkovian epidemic processes

Mathematics Subject Classification ID

Epidemiology (92D30) Small world graphs, complex networks (graph-theoretic aspects) (05C82) Computational methods for problems pertaining to biology (92-08)

Related Items (8)

Fundamentals of spreading processes in single and multilayer complex networks ⋮ Conditional quenched mean-field approach for recurrent-state epidemic dynamics in complex networks ⋮ An individual-based modeling framework for infectious disease spreading in clustered complex networks ⋮ Lumping the Approximate Master Equation for Multistate Processes on Complex Networks ⋮ Activation thresholds in epidemic spreading with motile infectious agents on scale-free networks ⋮ Mathematical modeling applied to epidemics: an overview ⋮ An overview of epidemic models with phase transitions to absorbing states running on top of complex networks ⋮ Epidemic outbreaks with adaptive prevention on complex networks

Uses Software

• GitHub

Cites Work

• Dynamics of social contagions with limited contact capacity
• Recovery rate affects the effective epidemic threshold with synchronous updating
• Dynamical Processes on Complex Networks
• Networks
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