2020/04/15 by Gustavo Barbosa Libotte, Fran Sérgio Lobato, Libotte, Gustavo Barbosa +5
Mathematics · Medicine · #COVID-19 Clinical Research Studies #COVID-19 epidemiological studies #FOS: Biological sciences #FOS: Mathematics #Optimization and Control (math.OC) #Populations and Evolution (q-bio.PE) #SARS-CoV-2 and COVID-19 Research
paper · pdf · doi:10.48550/arxiv.2004.07397
openalex publication_date 2020/04/15 · openalex created_date 2022/07/26 · openalex updated_date 2026/07/28
During decades, mathematical models have been used to predict the behavior of\nphysical and biologic systems, and to define strategies aiming the minimization\nof the effects regarding different types of diseases. In the present days, the\ndevelopment of mathematical models to simulate the dynamic behavior of novel\ncoronavirus disease (COVID-19) is considered an important theme due to the\nquantity of infected people worldwide. In this work, the aim is to determine an\noptimal control strategy for vaccine administration in COVID-19 pandemic\ntreatment considering real data from China. For this purpose, an inverse\nproblem is formulated and solved in order to determine the parameters of the\ncompartmental SIR (Susceptible-Infectious-Recovered) model. To solve such\ninverse problem, the Differential Evolution (DE) algorithm is employed. After\nthis step, two optimal control problems (mono- and multi-objective) to\ndetermine the optimal strategy for vaccine administration in COVID-19 pandemic\ntreatment are proposed. The first consists of minimizing the quantity of\ninfected individuals during the treatment. The second considers minimizing\ntogether the quantity of infected individuals and the prescribed vaccine\nconcentration during the treatment, i.e., a multi-objective optimal control\nproblem. The solution of each optimal control problems is obtained using DE and\nMulti-Objective Differential Evolution (MODE) algorithms, respectively. The\nresults regarding the proposed multi-objective optimal control problem provides\na set of evidences from which an optimal strategy for vaccine administration\ncan be chosen, according to a given criterion.\n