Simulation of an Intracellular Differential Equation Model of the Dynamics of Malaria with Immune Control and Treatment

Abstract

We designed a simulation of an intracellular differential equation model of the dynamics of malaria with immune control and treatment which considered malaria parasites in the liver and blood. We considered transmission dynamics of malaria and the interaction between the infection in the liver and blood. The disease free equilibrium of our model was asymptotically stable when the basic reproduction number is less than one and unstable when it is greater than one. Numerical simulations show that if the immune response is strong with effective treatment, malaria infection will be cleared from an infectious human host. A treatment strategy using highly effective drugs against malaria parasites with strong immune response can reduce malaria progression and control the disease.