COVID-19 dynamics in Africa under the influence of asymptomatic cases
Since December 2019 that coronavirus pandemic (COVID-19) has hit the
world, with over 13 million cases recorded, only a little above 4.67
percent of the cases have been recorded in the continent of Africa. The
percentage of cases in Africa rose significantly from 2 percent in the
month of May 2020 to above 4.67 percent by the end of July 15, 2020.
This rapid increase in the percentage indicates a need to study the
transmission, control strategy, and the dynamics of COVID-19 in Africa
continent. In this study, a nonlinear mathematical model to investigate
the impact of asymptomatic cases on the transmission dynamics of
COVID-19 in Africa is proposed. The model is analyzed, the reproduction
number is obtained, the local, as well as the global, asymptotic
stability of the equilibria were established. We investigate the
existence of backward bifurcation and we present the numerical
simulations to verify our theoretical results.