Zika virus is one of the lethal virus which is a threat to humans health. It can be transmitted from human to human, from mosquitos to human, from human to mosquitos. Since there is no vaccine or complete treatment of the Zika viral infection. Therefore, scientists are working on the optimal control strategies. One of the control strategies is the awareness about the spread. In this article, we have presented and analyzed a mathematical model for the Zika virus and have checked the results on long time. The model has closer results to the classical based on our numerical scheme by the help of Lagrange & rsquo;s interpolation polynomial.