Abstract

USING MATHEMATICAL MODELING OF UNDERSTANDING THE CAUSE AND THE WAY TO PREVENT OUTBREAK DISEASE (ZIKA VIRUS)

*1D.I.Lanlege & 2S.O Imoni

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Abstract We developed a deterministic mathematical model describing the transmission dynamics of Zika virus. The model is a system of first order ordinary differential equation (ODE), where S_H is susceptible human, I_H is infected human, R_(H )is recovered human ,human and mosquitoes interact to infect human, incorporating the use of condom, water hygiene and sanitation. The equilibrium states and the analytical solution use Homotopy Perturbation Method (HPM) and generating the reproductive number Ro, using Gauss Jordan elimination method. The demographic profile of French Polynesia was use in the model to show the effect of control measure at different rate (i.e lower, medium and higher) on French Polynesia population. A numerical simulation was carried out using maple software to show the effective reproductive number to determine whether the disease is under control or out of control. Keywords: Zika Virus, Transmission Dynamics, Model Equations, Homotopy Perturbation Method (HPM), Ordinary Differential Equations (ODE), Population and Susceptible- Infected- Recovered (SIR)

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