Optimal control of COVID-19

Abstract

Coronavirus disease of 2019 or COVID-19 (acronym for coronavirus disease 2019) is an emerging infectious disease caused by a strain of coronavirus called SARS-CoV-22, contagious with human-to-human transmission via respiratory droplets or by touching contaminated surfaces then touching them face. Faced with what the world lives, to define this problem, we have modeled it as an optimal control problem based on the models of William Ogilvy Kermack et Anderson Gray McKendrick, called SEIR model, modified by adding compartments suitable for our study. Our objective in this work is to maximize the number of recovered people while minimizing the number of infected. We solved the problem theoretically using the Pontryagin maximum principle, numerically we used and compared results of two methods namely the indirect method (shooting method) and the Euler discretization method, implemented in MATLAB.

A novel fractional order model of SARS-CoV-2 and Cholera disease with real data

“…Moussouni et al. [8] modeled an optimal control problem based on the models of William Ogilvy Kermack et Anderson Gray McKendrick, called the SEIR model, modified by adding compact-ments suitable for their study. Özköse et al.…”

Maximum Principle for Optimal Control of COVID-19 Spread

“…Optimal strategy in scenarios that involve administration of vaccines, increased vaccine supply, and limited combinations of interventions [19][20][21][22][23]. Furthermore, the mathematical model is extended to the optimal control problem by including control variables in the model as surgical face masks, social distancing, selfisolation, sensitization and awareness of disease transmission, as well as control including reducing the cost infrastructure such as testing facilities, which can lead to detection fast cases infected with Covid [24][25][26][27][28][29].…”

Control strategies for examining the effects of the Omicron variant on heart attacks by utilizing real data

“…In addition, transmission dynamics of echinococcosis and mumps virus and some treatment control strategies recommended for eradication of these diseases can be found in [26,27], respectively. Especially, recently, there are studies on optimal control of COVID-19 and its co-infection [28,29,30,31,32,33,34]. However, no studies have been found on the omicron variant in the literature review.…”