In this paper, we employ a step-collocation method based on Jacobi polynomials (JPs) to solve a stochastic delayed HIV (SD-HIV) infection model. For this reason, frst, we convert the SD-HIV system with a fnite delay into a non-delay system by using a stepwise approach. Then, by applying a Jacobicollocation scheme in each step, a non-delay nonlinear system is obtained. Finally, the numerical simulation is implemented to validate the robustness of the proposed scheme.
