Bifurcation and Sensitivity Analysis of a Malaria Model with Isolated Drug Resistant Population

Abstract

A malaria model with isolated drug resistant population after the first line of treatment is presented using six systems of first order nonlinear differential equations. The disease free equilibrium point and the basic reproduction number are determined. Local stability of the disease free equilibrium is determined and the conditions for the existence of endemic equilibrium. Bifurcation analysis reveals the existence of backward bifurcation. Sensitivity analysis is used to determine the impact of the model parameter on the basic reproduction number. Early detection and using correct dosage will go a long way to prevent drug resistance.

Keywords: Malaria, Bifurcation, Basic reproduction number, Stability, Equilibrium.