Method of directly defining the inverse mapping applied to prostate cancer immunotherapy --Mathematical model

In this paper, we apply the method of directly defining the inverse mapping introduced by Liao and Zhao [On the method of directly defining inverse mapping for nonlinear differential equations, Numer. Algorithms 72（4） （2016） 989-1020] to the problem of prostate cancer immunotherapy. We extend this method in two directions： first, we apply the method to a system of nonlinear ordinary differential equation, and second, we propose a new technique for finding the base functions in the considered algorithm.