Abstract

ON MATHEMATICAL MODEL FOR ZIKA VIRUS DISEASE CONTROL WITH WOLBACHIA-INFECTED MOSQUITOES

Michael C. Anyanwu,1+ Godwin C. Mbah2 and Emmanuel C. Duru1

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In this paper, a mathematical model for controlling the spread of zika virus disease with wobachia-infected aedes aegypti mosquitoes was developed. The model consists a system of 14 non-linear ordinary differential equations. These equations were used to describe the transmission dynamics of zika virus disease in human and aedes aegypti populations, in the presence of wolbachia-infected mosquitoes used for control. Approximate analytical solution to the model was obtained through homotopy perturbation method, and was simulated at the baseline parameter values. Graphically, it was seen that the population of infected humans and the population of wolbachia-free mosquitoes diminished, while the population of wolbachia-infected mosquitoes remain on the increase as time was increased. This result showed that zika virus disease can be eradicated by introducing reasonable number of wolbachia-infected mosquitoes in the zika endemic area. Keywords: Zika, aedes aegypti, wolbachia, homotopy, microcephaly.

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