Brief paper: The asymptotic behavior of stochastically perturbed DI SIR epidemic models with saturated incidences

Authors:
Hong Liu;Qingshan Yang;Daqing Jiang
Affiliations:
-;-;-
Venue:
Automatica (Journal of IFAC)
Year:
2012

Citing 3
Cited 0

An Algorithmic Introduction to Numerical Simulation of Stochastic Differential Equations

SIAM Review
A mathematical approach to HIV infection dynamics

Journal of Computational and Applied Mathematics
Brief paper: Dynamics of a multigroup SIR epidemic model with stochastic perturbation

Automatica (Journal of IFAC)

Quantified Score

Hi-index	22.14

Visualization

Abstract

In this paper, we consider a class of DI SIR epidemic models with saturated incidences and parameter perturbation. We investigate the asymptotic behavior according to the perturbation and the reproductive number R"0. When the perturbation is large, the infective in every group decays exponentially to zero while the susceptible converges weakly to stationary distribution regardless of the magnitude of R"0. When the perturbation is small, we get the same exponential stability and weak convergence if R"0@?1, and we use a new class of stochastic Lyapunov functions to obtain the ergodicity and positive recurrence if R"01.