The dynamical behaviors in a stochastic SIS epidemic model with nonlinear incidence

DOI10.1155/2016/5218163zbMath1358.92095OpenAlexW2472217300WikidataQ37072844 ScholiaQ37072844MaRDI QIDQ519617

Qing Ge, Ramziya Rifhat, Zhi-Dong Teng

Publication date: 5 April 2017

Published in: Computational \& Mathematical Methods in Medicine (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2016/5218163

zbMATH Keywords

stationary distributionstochastic perturbationdisease-induced mortalitystochastic SIS-type epidemic model

Mathematics Subject Classification ID

Epidemiology (92D30) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

Related Items (8)

Dynamics for a class of stochastic SIS epidemic models with nonlinear incidence and periodic coefficients ⋮ The stationary distribution in a stochastic SIS epidemic model with general nonlinear incidence ⋮ Threshold dynamics of a stochastic SIS epidemic model with nonlinear incidence rate ⋮ Extinction and persistence of a stochastic SIRV epidemic model with nonlinear incidence rate ⋮ A note on the stationary distribution of stochastic SIS epidemic model with vaccination under regime switching ⋮ Asymptotic dynamics of a stochastic SIR epidemic system affected by mixed nonlinear incidence rates ⋮ Lévy noise with infinite activity and the impact on the dynamic of an SIRS epidemic model ⋮ Dynamics of a stochastic susceptible-infective-recovered (SIRS) epidemic model with vaccination and nonlinear incidence under regime switching and Lévy jumps

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