Homotopy analysis based solution of a Malaria transmission dynamics model

We have derived and analyzed a five-compartmental deterministic mathematical model of Malaria disease transmission dynamics. A qualitative and quantitative analysis of the model has been performed. Existence and stability of the Disease Free Equilibrium (DFE) of the model is discussed in detail. The basic reproduction number R0 of the model is computed and it is established that the disease free equilibrium of the model is globally asymptotically stable. Homotopy Analysis Method (HAM) is used to solve the Malaria transmission dynamic model. Semi-analytical results obtained by HAM have been compared with the numerical solution and are found to be in good agreement. Finally, various simulations are done to discuss the solution with the use of a typical computer algebra system called MAPLE and Matlab