CAJ | 학술논문

借助随机微分方程的比较定理、伊藤公式和随机非线性理论中的 Lyapunov指数，研究一类具有脉冲效应和随机干扰的 SIS传染病模型，分析模型的正解和无病解的存在性，得到了平凡解的随机指数渐近稳定的充分条件。数值模拟验证了理论分析的合理性。
차조수궤미분방정적비교정리、이등공식화수궤비선성이론중적 Lyapunov지수，연구일류구유맥충효응화수궤간우적 SIS전염병모형，분석모형적정해화무병해적존재성，득도료평범해적수궤지수점근은정적충분조건。수치모의험증료이론분석적합이성。
By using the comparison theorem of stochastic differential equation,Ito formula and Lyapunov exponent of stochas-tic nonlinear theory,an SIS epidemic model with impulsive effect and random disturbance is investigated.The existence of the positive solution and the infection-free solution are analyzed,and the sufficient condition for the existence of stochastic exponential asymptotic stable trivial solution is obtained.Moreover,numerical results which are illustrated with an exam-ple,are in good agreement with the theoretical analysis.