Yu, Jiajia; Ling, Lin; Dong, Jinhua; Jiang, Guirong Dynamics analysis of an impulsive stochastic SIS epidemic model with standard incidence. (Chinese. English summary) Zbl 1424.92051 J. Univ. Sci. Technol. China 48, No. 8, 631-636 (2018). Summary: In this paper, random disturbance, birth pulse and pulse treatments are simultaneously considered to build a class of SIS epidemic model with standard incidence. Using a stochastic differential equation, sufficient conditions for the stochastic stability of the trivial solution are obtained. Sufficient conditions for the existence of the disease free solution are obtained using a discrete map. The stochastic extinction of the disease is investigated using the Itô formula. Moreover, a numerical simulation is conducted to verify the theoretical analysis. MSC: 92D30 Epidemiology 60H10 Stochastic ordinary differential equations (aspects of stochastic analysis) 34D20 Stability of solutions to ordinary differential equations Keywords:stochastic SIS epidemic model; standard incidence; birth pulses; pulse treatment PDFBibTeX XMLCite \textit{J. Yu} et al., J. Univ. Sci. Technol. China 48, No. 8, 631--636 (2018; Zbl 1424.92051) Full Text: DOI