A SPATIOTEMPORAL MODEL WITH OPTIMAL CONTROL FOR THE NOVEL CORONAVIRUS EPIDEMIC IN WUHAN, CHINA

被引：4

作者：

Kourrad, Ahmed ^{[1
]}

Alabkari, Amine ^{[1
]}

Adnaoui, Khalid ^{[1
]}

Zakary, Omar ^{[1
]}

Tabit, Youssef ^{[1
]}

Laaroussi, Adil El Alami ^{[2
]}

Lahmidi, Fouad ^{[1
]}

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：

COMMUNICATIONS IN MATHEMATICAL BIOLOGY AND NEUROSCIENCE | 2021年

关键词：

COVID-19; spread of epidemic; compartmental model; optimal control;

D O I：

10.28919/cmbn/5755

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We propose a spatiotemporal model with optimal control to investigate the current of the coronavirus epidemic in Wuhan. Our model formulated as a system of parabolic partial differential equations. Immunity is forced through vaccine distribution considered a control variable. Our objective is to prove the existence of solutions to the state system and also the existence of optimal control.

引用

页数：13

共 20 条

[1]

Alabkari A., 2021, J MATH COMPUT SCI, V11, P1601

[2]

Alabkari A., COMMUN MATH BIOL NEU, V2021, P34

[3]

[Anonymous], 2012, SHOCK WAVES REACTION

[4]

Bailey N.T.J., 1975, The Mathematical Theory of Infectious Diseases and Its Applications, V2nd ed.

[5]