A MATHEMATICAL SIR MODEL ON THE SPREAD OF INFECTIOUS DISEASES CONSIDERING HUMAN IMMUNITY

被引：3
|
作者：
Lafif, Marouane [1 ]
Khaloufi, Issam [1 ]
Benfatah, Youssef [1 ]
Bouyaghroumni, Jamal [1 ]
Laarabi, Hassan [1 ]
Rachik, Mostafa [1 ]
机构：
[1] Hassan II Univ Casablanca, Fac Sci Ben MSik, Dept Math & Comp Sci, Lab Anal Modeling & Simulat, BP 7955, Casablanca, Morocco
来源：
COMMUNICATIONS IN MATHEMATICAL BIOLOGY AND NEUROSCIENCE | 2022年
关键词：
mathematical model; human immunity; optimal control; Covid-19; virus; Pontryagin maximum; discrete Time; CELLS; IMMUNOTHERAPY; RNA;
D O I：
10.28919/cmbn/7552
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 propose a mathematical model of infection by infectious diseases, taking into account the division of the population according to the criteria of immunity. Our objective is to demonstrate the positive effect of this idea against the different epidemics. We have proposed two strategies to reduce the great human and material losses caused by these diseases, respectively awareness programs on the importance of the exercise of sport and a healthy food to increase human immunity, treatment and health care for people with low immunity. The Pontryagin maximum principle is applied to characterize the optimal controls, and the optimality system is solved using an iterative approach. Finally, numerical simulations are performed to verify the theoretical analysis using MATLAB.
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页数：16
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