摘要
本文研究了一类具有复发效应的随机传染病模型.利用随机微分方程的基本理论、停时技巧、Ito公式,以及构造Lyapunov函数,证明了全局正解的存在性和唯一性,得到了疾病灭绝的充分条件.最后数值模拟验证了理论结果的正确性.
In this paper,a stochastic epidemic model with recurrence effect was studied.By using the basic theory of stochastic differential equations,stopping time techniques,Ito formula,and constructing Lyapunov functions,the existence and uniqueness of global positive solutions were proved,and sufficient conditions for disease extinction were obtained.Finally,numerical simulations verified the correctness of the theoretical results.
作者
郝思佳
丁吉豪
吕翔
HAO Sijia;DING Jihao;LÜ Xiang(Mathematics and Science College,Shanghai Normal University,Shanghai 200234,China)
基金
上海市自然科学基金(19ZR1437100)。
