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Study of COVID-19 anti-pandemic strategies by using optimal control

2020/08/09 by Fulgence Mansal, Mansal, Fulgence, Mouhamadou A. M. T. Baldé +3
Mathematics · Medicine · #92D30 #COVID-19 epidemiological studies #FOS: Biological sciences #Mathematical and Theoretical Epidemiology and Ecology Models #Populations and Evolution (q-bio.PE) #SARS-CoV-2 and COVID-19 Research

paper · pdf · doi:10.48550/arxiv.2008.05897

openalex publication_date 2020/08/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this study, we present a new epidemiological model, with contamination from confirmed and unreported. We also compute equilibria and study their stability without intervention strategies. Optimal control theory has proven to be a successful tool in understanding ways to curtail the spread of infectious diseases by devising the optimal disease intervention strategies. We investigate the impact of distancing, case finding, and case holding controls while at the same time, we minimize the number of infected and dead individuals. The method consists of minimizing the cost functional related to infectious, death, and controls through some strategies to reduce the spread of the COVID19 epidemic.

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