Proceedings of the 2018 3rd International Conference on Education, Sports, Arts and Management Engineering (ICESAME 2018)

Bifurcation analysis of a modified cytotoxic T-lymphocyte response model with two delays

Authors
Qingshui Liao
Corresponding Author
Qingshui Liao
Available Online July 2018.
DOI
https://doi.org/10.2991/icesame-18.2018.44How to use a DOI?
Keywords
cytotoxic T-lymphocyte, stability, periodic solution, delay, Hopf bifurcation.
Abstract
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
Open Access
This is an open access article distributed under the CC BY-NC license.

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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  - 2018 3rd International Conference on Education, Sports, Arts and Management Engineering (ICESAME 2018)
PB  - Atlantis Press
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  -