OPTIMAL CONTROL FOR A DISCRETE TIME EPIDEMIC MODEL WITH ZONES EVOLUTION

被引：3

作者：

Benfatah, Youssef ^{[1
]}

Khaloufi, Issam ^{[1
]}

Boutayeb, Hamza ^{[1
]}

Rachik, Mostafa ^{[1
]}

Laarabi, Hassan ^{[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; Covid-19; contagious virus; Pontryagin maximum; SPREAD; TRAVEL;

D O I：

10.28919/cmbn/7463

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 new mathematical model to describe the evolution of an infectious disease in regions and between individuals. For this purpose we considered two systems, the first one for humans SiIiRi, where S-i represents the number of susceptible, I-i of infected and R-i of cured. The second system Z(i)(S)Z(i)(I)Z(i)(R) represents the different types of regions, where Z(i)(S) is the number of susceptible regions, where there are only susceptible people, after visiting an infected person, a susceptible region is likely to be infected, which we will note Z(i)(I), the last compartment Z(i)(R) denotes the infected regions, which are restored after the recovery of all infected people. In addition, we considered three control strategies u, v and w to control the spread of the virus within regions and between individuals. Numerical examples are provided to illustrate the effectiveness of our proposed control strategy.

引用

页数：21