MATHEMATICAL MODEL FOR THE TRANSMISSION DYNAMICS OF COVID19 PANDEMIC WITH CONTACT TRACING AND FULL RECOVER

Abstract

ABSTRACT 3

In this work, a Mathematical Model for the Transmission Dynamics of Covid-19 Pandemic with Contact Tracing and Full Recovery was formulated and carefully analyzed. The total population is divided into six compartments that reflects Covid-19 dynamics. The equilibrium points of the model were determined and analyzed for stability. The analysis of the disease-free equilibrium state shows that it is stable under certain conditions. The equilibrium states were obtained and analyzed for their stability relatively to the effective reproduction number. The result shows that, the disease-free equilibrium state was stable and the criteria for stability of the endemic equilibrium state are established. The study showed that the Covid-19 infectious free equilibrium is locally and globally asymptotically stable 0 1R  . The analytical solution was obtained using Homotopy perturbation Method (HPM) and effective reproduction number was computed in order to measure the relative impact for individual or combined intervention for effective disease control. The result of the numerical simulation shows that at high vaccination rate of the Human the Covid-19 virus can be eradicated completely which will also eradicate the tracing of the disease from Human.