title: Apoptosis in virus infection dynamics models.
abstract: In this paper, on the basis of the simplified two-dimensional virus infection dynamics model, we propose two extended models that aim at incorporating the influence of activation-induced apoptosis which directly affects the population of uninfected cells. The theoretical analysis shows that increasing apoptosis plays a positive role in control of virus infection. However, after being included the third population of cytotoxic T lymphocytes immune response in HIV-infected patients, it shows that depending on intensity of the apoptosis of healthy cells, the apoptosis can either promote or comfort the long-term evolution of HIV infection. Further, the discrete-time delay of apoptosis is incorporated into the pervious model. Stability switching occurs as the time delay in apoptosis increases. Numerical simulations are performed to illustrate the theoretical results and display the different impacts of a delay in apoptosis.
authors: a School of Mathematics and Physics , China University of Geosciences , Wuhan 430074 , China.
authors: Ruili
authors: R
authors: Fan
authors: Yueping
authors: Y
authors: Dong
authors: Gang
authors: G
authors: Huang
authors: Yasuhiro
authors: Y
authors: Takeuchi
mesh_terms: D017209:Apoptosis; D003198:Computer Simulation; D015658:HIV Infections / Q000453:epidemiology* / Q000276:immunology / Q000473:pathology* / Q000821:virology; D006801:Humans; D008954:Models, Biological; D009716:Numerical Analysis, Computer-Assisted; D013997:Time Factors
keywords: 34K20; 92D30; Hopf bifurcation; apoptosis; discrete delay; virus dynamics