Abstract
The Novel Coronavirus which emerged in India on January/30/2020 has become a catastrophe to the country on the basis of health and economy. Due to rapid variations in the transmission of COVID-19, an accurate prediction to determine the long term effects is infeasible. This paper has introduced a nonlinear mathematical model to interpret the transmission dynamics of COVID-19 infection along with providing vaccination in the precedence. To minimize the level of infection and treatment burden, the optimal control strategies are carried out by using the Pontryagin’s Maximum Principle. The data validation has been done by correlating the estimated number of infectives with the real data of India for the month of March/2021. Corresponding to the model, the basic reproduction number {mathcal {R}}_0 is introduced to understand the transmission dynamics of COVID-19. To justify the significance of parameters we determined the sensitivity analysis of {mathcal {R}}_0 using the parameters value. In the numerical simulations, we concluded that reducing {mathcal {R}}_0 below unity is not sufficient enough to eradicate the COVID-19 disease and thus, it is required to increase the vaccination rate and its efficacy by motivating individuals to take precautionary measures.
Highlights
The Novel Coronavirus which emerged in India on January/30/2020 has become a catastrophe to the country on the basis of health and economy
Keeping in view the aforementioned papers, we have introduced a nonlinear mathematical model by providing vaccination to the population in order to reduce the burden of COVID-19 pandemic
There are two equilibrium points for the model system (2) that has been computed in the region Ω, namely, a disease-free equilibrium point P0 = (S0, E0, V 0, Iu0, II0, Ih0, Ru0, Rk0), which represents the state when no COVID-19 infected individual is present in the population and an interior endemic equilibrium point P∗ = (S∗, E∗, V ∗, Iu∗, II∗, Ih∗, Ru∗, Rk∗)
Summary
A novel coronavirus model has been proposed and analyzed to study the transmission dynamics of COVID-19 disease among the population of India. Susceptibles acquire COVID-19 infection and become exposed, due to effective contact with undetected infectives and hospitalized infectives at the rate β , where the force of infection, , is given as β. Individuals recovered from COVID-19 may not get permanent immunity and again move to the class of susceptibles Some infectives such as those with comorbidities and weakened immune system might require intensive medical care and headway to the class of hospitalized infectives, that is, Ih(t) at the rate γ II.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
