The threshold of stochastic SIS epidemic model with saturated incidence rate

DOI10.1186/S13662-015-0355-4zbMATH Open1352.92154OpenAlexW2116367000WikidataQ59436129 ScholiaQ59436129MaRDI QIDQ318644

Daqing Jiang, Qixing Han, Shan Lin, Chengjun Yuan

Publication date: 5 October 2016

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-015-0355-4

zbMATH Keywords

extinctionItô's formulasaturated incidence rateergodic propertystochastic SIS model

Mathematics Subject Classification ID

Epidemiology (92D30) Stability of solutions to ordinary differential equations (34D20)

Cites Work

• Long-time behavior of a stochastic SIR model
• The reinfection threshold
• Stability analysis of a stochastic logistic model with nonlinear diffusion term
• A generalization of the Kermack-McKendrick deterministic epidemic model
• Bifurcations in an epidemic model with constant removal rate of the infectives
• An algorithmic introduction to numerical simulation of stochastic differential equations
• A Stochastic Differential Equation SIS Epidemic Model
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)

Related Items (9)

The threshold of a stochastic susceptible-infective epidemic model under regime switching ⋮ Bernstein-type theorem for \(\phi\)-Laplacian ⋮ Threshold of a stochastic SIQS epidemic model with isolation ⋮ Ergodic property, extinction and density function of a stochastic SIR epidemic model with nonlinear incidence and general stochastic perturbations ⋮ Random periodic solution for a stochastic SIS epidemic model with constant population size ⋮ Extinction and persistence of a stochastic SIRS epidemic model with saturated incidence rate and transfer from infectious to susceptible ⋮ The threshold of a stochastic SIQS epidemic model ⋮ The threshold behavior and periodic solution of stochastic SIR epidemic model with saturated incidence ⋮ The threshold of a stochastic SIRS epidemic model with saturated incidence

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