An Optimal Control for a Two-Dimensional Spatiotemporal SEIR Epidemic Model

被引：9

作者：

Adnaoui, Khalid ^{[1
]}

Laaroussi, Adil El Alami ^{[2
]}

机构：

[1] Hassan II Univ Casablanca, Fac Sci Ben MSik, Dept Math & Comp Sci, Lab Anal Modeling & Simulat, BP 7955, Casablanca, Morocco

[2] Abdelmalek Essaadi Univ, Higher Normal Sch Tetouan, Lab Appl Sci & Didact, Tetouan, Morocco

来源：

INTERNATIONAL JOURNAL OF DIFFERENTIAL EQUATIONS | 2020年 / 2020卷

关键词：

INTERFERENCE; DYNAMICS;

D O I：

10.1155/2020/4749365

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we present an application of optimal control theory on a two-dimensional spatial-temporal SEIR (susceptible, exposed, infected, and restored) epidemic model, in the form of a partial differential equation. Our goal is to minimize the number of susceptible and infected individuals and to maximize recovered individuals by reducing the cost of vaccination. In addition, the existence of the optimal control and solution of the state system is proven. The characterization of the control is given in terms of state function and adjoint. Numerical results are provided to illustrate the effectiveness of our adopted approach.

引用

页数：15

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