Dynamics of viral infection models with antibodies and general nonlinear incidence and neutralize rates

作者: A. M. Elaiw , N. H. AlShamrani

DOI: 10.1007/S40435-015-0181-2

关键词:

摘要: In this paper, the global properties of two general models for viral infection with antibody immune response are studied. The incidence rate infection, removal infected cells, production and neutralize rates viruses, activation antibodies given by more nonlinear functions. second model, an eclipse stage cells is included. latent-to-active conversion also a function. For both models, we derive threshold parameters establish set conditions on functions which sufficient to determine dynamics models. By using suitable Lyapunov LaSalle’s invariance principle, prove asymptotic stability all equilibria

参考文章(41)
Sarah Hews, Steffen Eikenberry, Yang Kuang, John D. Nagy, THE DYNAMICS OF A DELAY MODEL OF HBV INFECTION WITH LOGISTIC HEPATOCYTE GROWTH ,(2009)
Jack K. Hale, Sjoerd M. Verduyn Lunel, Introduction to Functional Differential Equations ,(1993)
Noura Yousfi, Khalid Hattaf, Abdessamad Tridane, Modeling the adaptive immune response in HBV infection Journal of Mathematical Biology. ,vol. 63, pp. 933- 957 ,(2011) , 10.1007/S00285-010-0397-X
Shifei Wang, Dingyu Zou, Global stability of in-host viral models with humoral immunity and intracellular delays Applied Mathematical Modelling. ,vol. 36, pp. 1313- 1322 ,(2012) , 10.1016/J.APM.2011.07.086
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
Stephen A. Gourley, Yang Kuang, John D. Nagy, Dynamics of a delay differential equation model of hepatitis B virus infection Journal of Biological Dynamics. ,vol. 2, pp. 140- 153 ,(2008) , 10.1080/17513750701769873
Khalid Hattaf, Noura Yousfi, Abdessamad Tridane, Mathematical analysis of a virus dynamics model with general incidence rate and cure rate Nonlinear Analysis-real World Applications. ,vol. 13, pp. 1866- 1872 ,(2012) , 10.1016/J.NONRWA.2011.12.015