Mathematical analysis and adaptive control spreading of coronavirus disease 2019 (COVID-19)

Abstract

Coronavirus disease 2019 (COVID-19) is an infectious disease caused by severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2), which is spreading all over the world and the main causes of worldwide death. For this reason, the control analysis of this coronavirus disease 2019 has a significant importance prevent the spread of it. In this paper, we present the modeling, mathematical analysis, and adaptive control of spreading coronavirus disease 2019. The mathematical analysis shows that the two fixed points of the coronavirus disease 2019 are globally asymptotically stable and the basic reproduction ratio R₀ is obtained, which characterizes the disease transmission. Moreover, an adaptive control is designed to control and treat coronavirus outbreak. The sufficient control conditions are derived for the existence of stable coronavirus disease 2019 free is presented.