A Simple SEIR Mathematical Model of Malaria Transmission

Abstracts

We have studied an SEIR mathematical model, and applied it to malaria transmission. We discussed the existence and stability of the Disease-Free (DFE) and Endemic Equilibria (EE) of both models. The (DFE) was locally asymptotically stable if the reproduction number is less than one and unstable if the reproduction number is greater than one for SEIR and malaria transmission model. Numerical simulations using Matlab Software were conducted to confirm our analytic results. Our findings were that, Malaria may be controlled by reducing the contact rate between human and mosquito, reducing the infection rate between the human, the use of active malaria drugs, insecticides and mosquito treated nets can also help to reduce mosquitoes population and malaria transmission respectively.

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