Shifted Boubaker Lagrangian approach for solving biological systems

作     者：Kourosh Parand Hossein Yousefi Mina Fotouhifar Mehdi Delkhosh Mehdi Hosseinzadeh 

作者机构：Department of Computer Sciences Shahid Beheshti University G.C. Tehran Iran Department of Cognitive Modelling Institute for Cognitive and Brain Sciences Shahid Beheshti University G. C. Tehran Iran Department of Computer Sciences Shahid Beheshti University G. C. Tehran Iran Iran University of Medical Sciences Tehran Iran Computer Science University of Human Development Sulaimaniyah Iraq 

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

年 卷 期：2018年第11卷第3期

页      面：155-175页

核心收录：

学科分类：01[哲学] 0101[哲学-哲学] 081704[工学-应用化学] 010104[哲学-逻辑学] 07[理学] 08[工学] 0817[工学-化学工程与技术] 070104[理学-应用数学] 081701[工学-化学工程] 0701[理学-数学] 

主　　题：Hantavirus infection model HIV infection model of CD4^+T cells SIR epi- demic model system of nonlinear differential equations Lagrangian method Boubaker polynomials. 

摘      要：Mathematical models and computer simulations are useful experimental tools for building and testing theories. Many mathematical models in biology can be formulated by a nonlinear system of ordinary differential equations. This work deals with the numerical solution of the hantavirus infection model, the human immunodeficiency virus （HIV） infection model of CD4^＋T cells and the susceptible-infected-removed （SIR） epidemic model using a new reliable algorithm based on shifted Boubaker Lagrangian （SBL） method. This method reduces the solution of such system to a system of linear or non- linear algebraic equations which are solved using the Newton iteration method. The obtained results of the proposed method show highly accurate and valid for an arbitrary finite interval. Also, those are compared with fourth-order Runge-Kutta （RK4） method and with the solutions obtained by some other methods in the literature.