A DISCRETE MATHEMATICAL MODEL SEIR WITH THE EVOLUTION OF THE REGIONS

被引：0

作者：

Khaloufi, Issam ^{[1
]}

Benfatah, Youssef ^{[1
]}

Moutamanni, Hajar ^{[1
]}

Boutayeb, Hamza ^{[1
]}

Rachik, Mostafa ^{[1
]}

机构：

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

来源：

COMMUNICATIONS IN MATHEMATICAL BIOLOGY AND NEUROSCIENCE | 2022年

关键词：

mathematical model; discrete-time systems; optimal control; contagious virus; SEIR; Pontryagin maximum; EPIDEMIC; SPREAD; TRANSMISSION; DYNAMICS; TRAVEL; SARS;

D O I：

10.28919/cmbn/7674

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 study, we provide a discrete mathematical SEIR model that depicts the evolution of an infectious disease while introducing the novel idea of taking regional infection spread into account. To reduce the disease's ability to spread among people and places, we suggest three control measures. The optimal controls are defined using the Pontryagin maximum principle, and the optimality system is solved using an iterative method. Finally, MATLAB-based numerical simulations are performed to check the results of the theoretical analysis. Keywords: mathematical model; discrete-time systems; optimal control; contagious virus; SEIR; Pontryagin maximum.

引用

页数：27

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