Abstract

Objective : This article presents the seven equation SEIR-SIR model for the dynamics of malaria parasite transmission in both mosquito and human. It defines the presence of area in which the model is epidemiologically feasible. Material and Methods: This paper is to find the approximate solution of the above models using q-homotopy analysis method. It is a flexible method that is used to solve a variety of differential equations. Results: Numerical simulations are carried out to confirm the analytic results and explore the possible behavior of the formulated model. Conclusions: The results of our study are that, Malaria can be controlled by reducing the rate of contact between humans and mosquitoes, the use of active malaria drugs, insecticides and mosquito nets treated with mosquitoes can also help reduce mosquito populations and malaria transmission respectively.

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