Bifurcation analysis of a modified cytotoxic T-lymphocyte response model with two delays
Available Online July 2018.
- https://doi.org/10.2991/icesame-18.2018.44How to use a DOI?
- cytotoxic T-lymphocyte, stability, periodic solution, delay, Hopf bifurcation.
- In this paper, a modified cytotoxic T-lymphocyte response model with two delays is considered. By regarding the delays as the bifurcation parameter, the local asymptotic stability of the positive equilibrium is studied. We found that the system undergoes a Hopf bifurcation of a nonconstant periodic solution at positive equilibrium when the delays across through a sequence of bifurcated periodic solutions. And, we investigate the direction and the stability of bifurcated periodic solution
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- This is an open access article distributed under the CC BY-NC license.
Cite this article
TY - CONF AU - Qingshui Liao PY - 2018/07 DA - 2018/07 TI - Bifurcation analysis of a modified cytotoxic T-lymphocyte response model with two delays BT - Proceedings of the 2018 3rd International Conference on Education, Sports, Arts and Management Engineering (ICESAME 2018) PB - Atlantis Press SP - 212 EP - 219 SN - 2352-5398 UR - https://doi.org/10.2991/icesame-18.2018.44 DO - https://doi.org/10.2991/icesame-18.2018.44 ID - Liao2018/07 ER -