The maximum number of infected individuals in SIS epidemic models: computational techniques and quasi-stationary distributions

DOI10.1016/j.cam.2009.11.003zbMath1180.92073OpenAlexW2046973750MaRDI QIDQ847237

Antonis Economou, Jesus R. Artalejo, Maria Jesus Lopez-Herrero

Publication date: 12 February 2010

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2009.11.003

zbMATH Keywords

quasi-stationary distributionextinction timestochastic SIS epidemic modeltransient distributionabsorption probabilitiesmaximum number of infected individuals

Mathematics Subject Classification ID

Related Items (13)

The deterministic SIS epidemic model in a Markovian random environment ⋮ Applying Reversibility Theory for the Performance Evaluation of Reversible Computations ⋮ On the number of recovered individuals in the \(SIS\) and \(SIR\) stochastic epidemic models ⋮ DES AND RES PROCESSES AND THEIR EXPLICIT SOLUTIONS ⋮ An exact and implementable computation of the final outbreak size distribution under Erlang distributed infectious period ⋮ Second order longitudinal dynamic models with covariates: estimation and forecasting ⋮ MAXIMUM POPULATION SIZES IN HOST–PARASITOID MODELS ⋮ Cumulative and maximum epidemic sizes for a nonlinear SEIR stochastic model with limited resources ⋮ On the number of births and deaths during an extinction cycle, and the survival of a certain individual in a competition process ⋮ Schwarz methods for quasi stationary distributions of Markov chains ⋮ The asymptotic stability for an SIQS epidemic model with diffusion ⋮ Approximating quasi-stationary behaviour in network-based SIS dynamics ⋮ Quasi-stationary distributions for discrete-state models

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