eff R a Function of Drug Therapy and Treatment in the Mathematical Model of Malaria Disease Dynamics

Abstract

In this paper, we propose a mathematical model of malaria disease which involves Fractional Differential Equations (FDEs) introducing the effect of drug therapy and treatment rates. The effective reproduction number ( eff R ) is obtained and computed using next generation method. The eff R was analytically evaluated for its sensitivity in the model dynamics. It was proved that eff R is a strict decreasing function of drug therapy and treatment parameters.