Optimal control of a delayed SIRC epidemic model with saturated incidence rate

被引：16

作者：

Li, Lele ^{[1
]}

Sun, Caixia ^{[1
]}

Jia, Jianwen ^{[1
]}

机构：

[1] Shanxi Normal Univ, Sch Math & Comp Sci, Linfen 041004, Peoples R China

来源：

OPTIMAL CONTROL APPLICATIONS & METHODS | 2019年 / 40卷 / 02期

关键词：

optimal control; saturated incidence rate; treatment; vaccination;

D O I：

10.1002/oca.2482

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, we present a susceptible-infected-recovered cross-immune (SIRC) epidemic model, which describes Influenza A and analyzes the SIRC epidemic model through the optimal control theory and mathematical analysis. We show the existence of an optimal control pair for the optimal control problem by using Pontryagin's maximum principle with delay and derive the optimality condition. Finally, numerical simulation is carried out to verify our theoretical results.

引用

页码：367 / 374

页数：8

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