In this paper, by means of the optimal control technique and power series technique,we introduce a new method, namely, the optimal control power series technique, bywhich one can obtain numerical solutions of the HIV infection model of CD4+T cells.The obtained approximate solution has shown good agreement with the experimentalresults and previous simulations using other methods.https://search.hthereadinghub.com/?uc=20180302&ad=appfocus1&source=d-lp0-bb9&uid=0d8983d2-5a26-4ec4-bba5-84ea234d1896&i_id=ebooks_100.7&page=newtab&