Extinction and persistence of a stochastic SICA epidemic model with standard incidence rate for HIV transmission
Xiaodong Wang, Chunxia Wang, Kai Wang
Abstract
Abstract In this paper, a stochastic SICA epidemic model with standard incidence rate for HIV transmission is proposed. The sufficient conditions of the extinction and persistence in mean for the disease are established. Numerical simulations show that random perturbations can suppress disease outbreaks and the risk of HIV transmission can be reduced by reducing the transmission coefficient of HIV while increasing the strength of the stochastic perturbation.
Topics & Concepts
Epidemic modelExtinction (optical mineralogy)MathematicsTransmission (telecommunications)Human immunodeficiency virus (HIV)Persistence (discontinuity)Ordinary differential equationPerturbation (astronomy)Stochastic modellingTransmission rateStochastic processDisease transmissionApplied mathematicsStatisticsMedicineVirologyMathematical analysisBiologyComputer sciencePopulationDifferential equationPhysicsEnvironmental healthGeotechnical engineeringGeologyPaleontologyTelecommunicationsQuantum mechanicsMathematical and Theoretical Epidemiology and Ecology ModelsStochastic processes and statistical mechanicsCOVID-19 epidemiological studies