SEAIQHRDP mathematical model Analysis for the transmission dynamics of COVID-19 in India

Abstract

Mathematical modeling is one of the most used techniques for analyzing and preventing the transmission of COVID-19. To control this pandemic, it is essential to classify the infected population. So in this article, a new SEAIQHRDP model was formulated to investigate the transmittal dynamics of COVID-19. This model contains nine compartments Susceptible(S) class, Exposed(E) class, Asymptomatic(A) class, Infected(I) class, Quarantined(Q) class, Hospitalized(H) class, Recovered(R) class, Death(D) class, and Insusceptible (P) class. This model was fitted to the daily and cumulative confirmed COVID-19 cases in the period between 30th January 2020 and 13th January 2021 in India. Sensitivity analysis concerning R0 was performed to classify the significance of parameters. Contour plots for R0 were executed and the effect of various parameters on the infected classes had shown graphically. The necessity of stringent face mask usage and social seclusion is highlighted by optimal control analysis as a key factor in the dramatic reduction of infection rates. So the optimal control technique was adopted to lessen the disease mortality by taking both nonpharmaceutical and pharmaceutical intervention strategies as control functions and comparing infectives and recoveries with and without controls.