Finite-Time Stability of Time-Delay Dynamical System for the Outbreak of COVID-19

Abstract

In this study, the finite-time stability of the time-delay system representing the COVID-19 outbreak is analyzed. The infection dynamics is stated with the new kernel function to express the distribution of exposed people in the model. A history-wise Lyapunov functional is used to show the finite-time stability of the proposed system. A condition in terms of linear matrix inequalities is given to ensure finite-time stability. With this condition, it is guaranteed that the norm of the variables which are infected, confirmed, isolated and cured/recovered people do not exceed a certain bound in a fixed finite time interval. The solution of the generalized minimum/maximum parameters is explained and a numerical example is demonstrated to show the validity of the proposed method.