Compartmental SEIRW COVID-19 optimal control model

Abstract

With no specific treatment identified, COVID-19 remains a major threat to the world, as the scientific community continues to look for a better understanding of the epidemiological cycle and dynamics of the virus. Mathematical modeling of the 2019 coronavirus disease may provide a better insight into the virus complex dynamics and lay preventive measures that can be employed to contain the disease from spreading. In this research article, a new compartmental SEIRW COVID-19 model is introduced and examined, to describe the dynamics of the disease. We have established both local and global stability analysis for the model equilibria computed from the mathematical model. Additionally, using personal protection, treatment, and spraying of disinfectant as timedependent control functions, we have developed a SEIRW optimal control COVID-19 epidemic model. Applying the well-known Pontryagin’s maximum principle and the constructed Hamiltonian function, we have formulated the optimality system for the nonlinear COVID-19 epidemic model. We have numerically solved the optimality system for the COVID-19 compartmental model using the efficient fourth-order Runge-Kutta iterative scheme with the forward-backward sweep method.