For EDITORS

For READERS

All Issues

Vol.10, 2020
Vol.9, 2019
Vol.8, 2018
Vol.7, 2017
Vol.6, 2016
Vol.5, 2015
Vol.4, 2014
Vol.3, 2013
Vol.2, 2012
Vol.1, 2011
Volume 10, Number 4, 2020, Pages 1396-1415                                                                DOI:10.11948/20190214
Dynamics of an impulsive stochastic SIR epidemic model with saturated incidence rate
Wenjie Cao,Tao Pan
Keywords:SIR epidemic model, stochastic perturbation, impulsive effect, periodic solution, global attraction.
Abstract:
      In this paper, the dynamics of an impulsive stochastic SIR epidemic model with saturated incidence rate are analyzed. The existence and uniqueness of the global positive solution is proved by constructing the equivalent system without pulses. The threshold which determines the extinction and persistence of the disease is obtained. The global attraction of disease-free periodic solution is addressed. Sufficient condition for the existence of a positive periodic solution is established. These results are supported by computer simulations.
PDF      Download reader