Abstract

In this research article, the variational Homotopy perturbation method is proposed to solve the governing nonlinear differential equations describing the mathematical model of Dengue virus with incubation period. The equations were first written using the variational iteration method with the Lagrange multiplier based on the variational theory determined for each of the equations before applying the Homotopy perturbation method. Successive iterative solutions are then obtained upon equating the powers of both sides of the perturbation parameter. Using the limiting condition when the perturbation parameter tends to unity, the three-term approximation is then obtained for all model parameters. The result shows, the proposed method is reliable, efficient, convergent, and computationally convenient.