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

Authors : Gökhan Göksu

Pages : 25-37

View : 15 | Download : 7

Publication Date : 2020-12-25

Article Type : Research

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.
Keywords : Finite-time stability, time-delay systems, infection dynamics, COVID-19