Numerical Simulations and Solutions of a Mathematical Model for Zika Virus Disease

In this work, a new model for Zika virus disease is formulated. The model incorporates the effects of treatment and use of sterile insect technique in controlling the spread of Zika in human and mosquito populations respectively. The existence and uniqueness of solutions to the model are shown. The model is also shown to be well-posed epidemiologically. The semi-analytical solutions of the model are obtained by differential transform methods and compare with the numerical solutions by Runge-Kutta method of order 4 and is seen to perform relatively well. Numerical simulations show how effective the various controls suggested help to reduce the spread of the disease. The analysis also highlights the health burdens associated with increasing cases of asymptomatic occurrences. The analyses show that combining control strategies produces a better result in controlling the spread of Zika virus than using any of the controls individually.