A fractional-order model of HIV infection： Numerical solution and comparisons with data of patients

作     者：A. A. M. Arafa S. Z. Rida M. Khalil 

作者机构：Department of Mathematics and Computer Science Faculty of Sciences Port Said University Port Said Egypt Department of Mathematics Faculty of Sciences South Valley University Qena Egypt Department of Mathematics Faculty of EngineeringOctober University for Modern Sciences and Arts (MSA University) 6th Oct. City Giza Egypt 

出 版 物：《International Journal of Biomathematics》 (生物数学学报（英文版）)

年 卷 期：2014年第7卷第4期

页      面：23-33页

核心收录：

学科分类：0710[理学-生物学] 07[理学] 080103[工学-流体力学] 08[工学] 09[农学] 071007[理学-遗传学] 0901[农学-作物学] 0836[工学-生物工程] 090102[农学-作物遗传育种] 0801[工学-力学（可授工学、理学学位）] 

主　　题：Fractional calculus Euler method HIV model numerical results. 

摘      要：In this paper, a fractional-order model which describes the human immunodeficiency type-1 virus （HIV-1） infection is presented. Numerical solutions are obtained using a generalized Euler method （GEM） to handle the fractional derivatives. The fractional derivatives are described in the Caputo sense. We show that the model established in this paper possesses non-negative solutions. Comparisons between the results of the fractional-order model, the results of the integer model and the measured real data obtained from 10 patients during primary HIV-1 infection are presented. These compar- isons show that the results of the fractional-order model give predictions to the plasma virus load of the patients better than those of the integer model.