Track: Healthcare Operations and Services
Abstract
A mathematical model is proposed and analyzed to study the malaria transmission and how to reduce the transmission by using specific electromagnetic frequency. The model is governed by four compartments for human population and three compartments for mosquito population. The model is analyzed by using the stability theory of non-linear differential equations and numerical simulations. We calculate the basic reproduction number by the method of next generation matrix. We observe that the disease free equilibrium is stable only when the basic reproduction number is less than one and unstable when the basic reproduction number is greater than one. We also investigate that the malaria transmission is reduced by using mosquito net and specific electromagnetic frequency. Numerical simulations are shown to support the presented analytical results.