Asymptotic behavior of global positive solution to a stochastic SIR model incorporating media coverage

DOI10.1186/s13662-016-0884-5zbMath1418.92213OpenAlexW2417031881WikidataQ59467117 ScholiaQ59467117MaRDI QIDQ1725534

Huitao Zhao, Miaochan Zhao

Publication date: 14 February 2019

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

Full work available at URL: https://doi.org/10.1186/s13662-016-0884-5

zbMATH Keywords

asymptotic behaviorglobal positive solutionasymptotical stabilitystochastic SIR epidemic modelmedia coverage

Mathematics Subject Classification ID

Epidemiology (92D30) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Population dynamics (general) (92D25) Applications of stochastic analysis (to PDEs, etc.) (60H30) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Related Items (9)

A stochastic SIRS epidemic model with a general awareness-induced incidence ⋮ Lévy noise perturbation for an epidemic model with impact of media coverage ⋮ A stochastic SIRS epidemic model incorporating media coverage and driven by Lévy noise ⋮ Stochastic analysis of a two delayed epidemic model incorporating Lévy processes with a general non-linear transmission ⋮ A generalized stochastic SIRS epidemic model incorporating mean-reverting Ornstein-Uhlenbeck process ⋮ Media effects on the dynamics of a stochastic SIRI epidemic model with relapse and Lévy noise perturbation ⋮ Two critical times for the SIR model ⋮ A stochastic SIRI epidemic model with relapse and media coverage ⋮ A stochastic SIR epidemic model with Lévy jump and media coverage

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