Mathematical Modeling Applied to Understand the Dynamical Behavior of HIV Infection  

作　　者：Sontosh Kumar Sahani M. Haider Ali Biswas 

机构地区：[1]Mathematics Discipline, Khulna University, Khulna, Bangladesh

出　　处：《Open Journal of Modelling and Simulation》2017年第2期145-157,共13页建模与仿真（英文）

摘　　要：The study of viral dynamics of HIV/AIDS has resulted in a deep understanding of host-pathogenesis of HIV infection from which numerous mathematical modeling have been derived. Most of these models are based on nonlinear ordinary differential equations. In Bangladesh, the rate of increase of HIV infection comparing with the other countries of the world is not so high. Bangladesh is still considered to be a low prevalent country in the region with prevalence and shown the local and global stability at disease free and chronic infected equilibrium points. Also we have shown that if the basic reproduction number , then HIV infection is cleared from T cell population and it converges to disease free equilibrium point. Whereas if , then HIV infection persists.The study of viral dynamics of HIV/AIDS has resulted in a deep understanding of host-pathogenesis of HIV infection from which numerous mathematical modeling have been derived. Most of these models are based on nonlinear ordinary differential equations. In Bangladesh, the rate of increase of HIV infection comparing with the other countries of the world is not so high. Bangladesh is still considered to be a low prevalent country in the region with prevalence and shown the local and global stability at disease free and chronic infected equilibrium points. Also we have shown that if the basic reproduction number , then HIV infection is cleared from T cell population and it converges to disease free equilibrium point. Whereas if , then HIV infection persists.

关 键 词：CD4+ T Cells DYNAMICAL Systems Basic REPRODUCTION Number EQUILIBRIUM POINTS Stability Analysis 

分 类 号：O1[理学—数学]