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Analytic Solution of the Dynamics of Malaria Transmission

Bawa M., Usman J., Adamu G., Abubakar B. & Abubakar A.

Abstract

The dynamics of malaria transmission in a population is compartmentalized into the human and vector classes and represented by a set of ordinary differential equations using several known clinical and biological information. The Homotopy Perturbation method which provides solution to various linear and non-linear differential equations was applied to obtain the analytic solution of the model. The variational method was used for simulation to follow the trend of the population in the respective classes over a period of time. The result revealed the possibility of delimitation of the endemic disease through concerted effort.

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