Dynamic analysis and optimal control of a fractional order model for hand-foot-mouth Disease

被引：0
作者：
Ruiqing Shi
Ting Lu
机构：
[1] Shanxi Normal University,School of Mathematics and Computer Science
来源：
Journal of Applied Mathematics and Computing | 2020年 / 64卷
关键词：
Fractional order; Hand-foot-mouth disease; Basic reproduction number; Stability; Optimal control; 92B05;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, a fractional order mathematical model is constructed to describe the transmission of hand-foot-mouth disease. Two cases are considered: constant control and optimal control. In the former case, the existence and uniqueness of positive solutions are proved; then the sufficient conditions for the existence and stability of two equilibriums are obtained. In the latter case, the existence of an optimal control solution is obtained; next, the optimality control conditions are derived by using Pontryagin’s Maximum Principle. After that, some numerical simulations are performed to verify the theoretical prediction.
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页码：565 / 590
页数：25
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