信阳师范学院学报（自然科学版）2016，Vol.29Issue(3)：328-331,4.DOI:10.3969/j.issn.1003-0972.2016.03.005
具有非单调发生率的传染病模型的最优控制
Optimal Control of an Epidemic Model with Non-Monotonic Incidence Rate
摘要
Abstract
An SIR epidemic model with non⁃monotonic incidence rate was studied. In the nonlinear optimal control framework, the optimal vaccination strategies to minimize the susceptible and infected individuals and to maximize the number of recovered individuals were used. The existence of the optimal control was discussed. A characterization of the optimal control via adjoint variables was established. Finally, some results of numerical results were given to verify the efficiency of the control.关键词
SIR 模型/最优控制/疫苗接种Key words
SIR model/optimal control/vaccination分类
数理科学引用本文复制引用
甘乃峰,赵岩..具有非单调发生率的传染病模型的最优控制[J].信阳师范学院学报（自然科学版）,2016,29(3):328-331,4.基金项目
鞍山师范学院博士启动基金项目（2016B03）；鞍山师范学院与鞍山市环境监测中心站科技合作项目 （）
