Stability analysis of disease free equilibrium (DFE) state of a mathematical model of malaria disease in the presence of drug therapy and treatment

Abstract

Abstract In this paper, we propose a mathematical model of malaria disease in the presence of drug therapy and treatment. We obtained the Disease Free Equilibrium (DFE) points and compute the effective reproduction number  . eff R The local and global stability of the DFE was analyzed using the approaches of Jacobian Matrix t analysis and Lyapunov function respectively. The local and global stability is asymptotically stable if 1  eff R and , 1  eff R respectively. The effective reproduction number, drug therapy and treatment were numerically simulated and the results are presented in graphical form.