随机SIRS模型拟最优控制存在的必要条件  

Necessary condition for near-optimal control of a stochastic SIRS epidemic model

作　　者：牟晓洁 张启敏 王宗 Mu Xiaojie;Zhang Qimin;Wang Zong(School of Mathematics and Information Science,Beifang University of Nationalities,Yinchuan 750021,China;School of Mathematics and Statistics,Ningxia University,Yinchuan 750021,China)

机构地区：[1]北方民族大学数学与信息科学学院,银川750021 [2]宁夏大学数学统计学院,银川750021

出　　处：《河南师范大学学报（自然科学版）》2019年第5期25-31,共7页Journal of Henan Normal University(Natural Science Edition)

基　　金：国家自然科学基金(11661064);北方民族大学研究生创新项目(YCX18090)

摘　　要：建立了不确定参数和白噪声影响的随机SIRS模型,给出了易感者、感染者和恢复者的先验估计.利用Ekeland变分原理和极大值条件得到SIRS模型的拟最优控制存在的必要条件.通过一个数值例子验证了所得到的理论结果.The stochastic SIRS model with imprecise parameters and white noise is established.We obtain priori estimates of the susceptible,infected and recovered populations.Necessary condition for the near optimality of the SIRS model is established with Ekeland′s principle and a nearly maximum condition.A numerical example is provided for verifying the theoretical results.

关 键 词：SIRS传染病模型 区间数 环境波动 Hamiltonian函数 

分 类 号：O175.1[理学—数学]