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Stability analysis of disease free equilibrium (DFE) state of a mathematical model of malaria disease in the presence of drug therapy and treatment
International Journal of Statistics and Applied Mathematics · 2020 · Vol. 5(1) · pp. 01–13
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 (Reff). 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 Reff
Mathematical and Theoretical Epidemiology and Ecology ModelsEvolution and Genetic DynamicsMalaria Research and ControlJacobian matrix and determinantLyapunov functionStability (learning theory)MalariaStability theoryDiseaseExponential stabilityMathematicsEquilibrium pointApplied mathematics
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