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

DOI

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

Copyright

© 2018, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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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  - 10.2991/icesame-18.2018.44
ID  - Liao2018/07
ER  -