Stochastic differential equations (SDEs) arise from physical systems that possess inherent noise and certainty. In this paper, we present an application of the stochastic calculus to the problem of modeling diffusion HIV virus. The deterministic model of the diffusion HIV virus is replaced by a stochastic model by adding a noise term in parameters model.

Numerical tests via Matlab programming are performed in order to show the efficiency and accuracy of the present work. Numerical simulations in Matlab are obtained using the Euler-Maruyama method.