GLOBAL ANALYSIS OF AN EXTENDED HIV DYNAMICS MODEL WITH GENERAL INCIDENCE RATE
作者： AHMED ELAIW , NADA. ALMUALLEM , XIA WANG
DOI: 10.1142/S0218339015500217
关键词:
摘要: The objective of this work is to investigate the qualitative behavior an Human Immunodeficiency Virus (HIV) dynamics model with two types cocirculating target cells and under effect anti-viral drug therapy. takes into account both short-lived infected long-lived chronically cells. In cells, efficacy assumed be different. incidence rate virus infection given by general functional response. We have derived basic reproduction number which determines global model. established a set conditions are sufficient stability equilibria analysis has been using Lyapunov method. Numerical simulations performed for specific form function. shown that numerical theoretical results consistent.
sci-hub.se 参考文章(30)
Morris W. Hirsch, Hal L. Smith, Xiao-Qiang Zhao, Chain Transitivity, Attractivity, and Strong Repellors for Semidynamical Systems Journal of Dynamics and Differential Equations. ,vol. 13, pp. 107- 131 ,(2001) , 10.1023/A:1009044515567
Jinliang Wang, Jingmei Pang, Toshikazu Kuniya, Yoichi Enatsu, Global threshold dynamics in a five-dimensional virus model with cell-mediated, humoral immune responses and distributed delays Applied Mathematics and Computation. ,vol. 241, pp. 298- 316 ,(2014) , 10.1016/J.AMC.2014.05.015
A.M. Elaiw, Global properties of a class of HIV models Nonlinear Analysis-real World Applications. ,vol. 11, pp. 2253- 2263 ,(2010) , 10.1016/J.NONRWA.2009.07.001
M. A. Nowak, C. R. M. Bangham, Population dynamics of immune responses to persistent viruses. Science. ,vol. 272, pp. 74- 79 ,(1996) , 10.1126/SCIENCE.272.5258.74
Jinliang Wang, Shengqiang Liu, The stability analysis of a general viral infection model with distributed delays and multi-staged infected progression Communications in Nonlinear Science and Numerical Simulation. ,vol. 20, pp. 263- 272 ,(2015) , 10.1016/J.CNSNS.2014.04.027
Duncan S Callaway, Alan S Perelson, HIV-1 Infection and Low Steady State Viral Loads Bulletin of Mathematical Biology. ,vol. 64, pp. 29- 64 ,(2002) , 10.1006/BULM.2001.0266
Horst R. Thieme, Persistence under Relaxed Point-Dissipativity (with Application to an Endemic Model) SIAM Journal on Mathematical Analysis. ,vol. 24, pp. 407- 435 ,(1993) , 10.1137/0524026
Michael Y. Li, Hongying Shu, Impact of Intracellular Delays and Target-Cell Dynamics on In Vivo Viral Infections SIAM Journal on Applied Mathematics. ,vol. 70, pp. 2434- 2448 ,(2010) , 10.1137/090779322
Yanni Tian, Xianning Liu, Global dynamics of a virus dynamical model with general incidence rate and cure rate Nonlinear Analysis: Real World Applications. ,vol. 16, pp. 17- 26 ,(2014) , 10.1016/J.NONRWA.2013.09.002
N. Bairagi, D. Adak, Global analysis of HIV-1 dynamics with Hill type infection rate and intracellular delay☆ Applied Mathematical Modelling. ,vol. 38, pp. 5047- 5066 ,(2014) , 10.1016/J.APM.2014.03.010