Global dynamics of cell mediated immunity in viral infection models with distributed delays

  title={Global dynamics of cell mediated immunity in viral infection models with distributed delays},
  author={Yukihiko Nakata},
  journal={arXiv: Dynamical Systems},
  • Y. Nakata
  • Published 2010
  • Mathematics, Biology
  • arXiv: Dynamical Systems
In this paper, we investigate global dynamics for a system of delay differential equations which describes a virus-immune interaction in \textit{vivo}. The model has two distributed time delays describing time needed for infection of cell and virus replication. Our model admits three possible equilibria, an uninfected equilibrium and infected equilibrium with or without immune response depending on the basic reproduction number for viral infection $R_{0}$ and for CTL response $R_{1}$ such that… Expand
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