Global threshold dynamics in a five-dimensional virus model with cell-mediated, humoral immune responses and distributed delays

@article{Wang2014GlobalTD,
  title={Global threshold dynamics in a five-dimensional virus model with cell-mediated, humoral immune responses and distributed delays},
  author={Jinliang Wang and Jingmei Pang and Toshikazu Kuniya and Yoichi Enatsu},
  journal={Applied Mathematics and Computation},
  year={2014},
  volume={241},
  pages={298-316}
}
In this paper, we investigate the dynamics of a five-dimensional virus model with immune responses and an intracellular delay which describes the interactions of the HIV virus, CD4 cells and CTLs within host, which is an improvement of some existing models by incorporating (i) two distributed kernels reflecting the variance of time for virus to invade into cells and the variance of time for invaded virions to reproduce within cells; (ii) a nonlinear incidence function f for virus infections… CONTINUE READING

Citations

Publications citing this paper.
Showing 1-10 of 15 extracted citations

References

Publications referenced by this paper.
Showing 1-10 of 47 references

Global stability of a five-dimensional model with immune responses and delay

  • Y. Yan, W. Wang
  • Disc. Cont. Dyn. Sys. B
  • 2012
Highly Influential
7 Excerpts

Complete global stability for an SIR epidemic model with delay-distributed or discrete

  • C. McCluskey
  • Nonlinear Anal. Real World Appl. 11,
  • 2000
Highly Influential
4 Excerpts

Similar Papers

Loading similar papers…