Stochastic differential equation systems for an SIS epidemic model with vaccination and immigration

DOI10.1080/03610926.2016.1189571zbMath1378.92071OpenAlexW2516637857MaRDI QIDQ4586602

Rahman Farnoosh, Mahmood Parsamanesh

Publication date: 27 October 2017

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610926.2016.1189571

zbMATH Keywords

stochastic differential equationforward Kolmogorov equationSIS epidemic modelEuler-Maruyama schemeextinction and persistencetemporary vaccination

Mathematics Subject Classification ID

Epidemiology (92D30) Applications of statistics to biology and medical sciences; meta analysis (62P10) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10)

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Stability and bifurcations in a discrete-time SIVS model with saturated incidence rate ⋮ The dynamics and application of a stochastic delayed SIS epidemic model with vaccination ⋮ The threshold dynamics in a stochastic SIS epidemic model with vaccination and nonlinear incidence under regime switching ⋮ Stability of the equilibria in a discrete-time sivs epidemic model with standard incidence ⋮ On the global stability of the endemic state in an epidemic model with vaccination ⋮ Global dynamics of an epidemic model with standard incidence rate and vaccination strategy ⋮ Disease extinction and persistence in a discrete-time sis epidemic model with vaccination and varying population size

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