Article citationsMore>>
Greten, T.F., Slansky, J.E., Kubota, R., Soldan, S.S., Jaffee, E.M., Leist, T.P., et al. (1998) Direct Visualization of Antigen-Specific T Cells: HTLV-1 Tax11-19-Specific CD8+ T Cells Are Activated in Peripheral Blood and Accumulate in Cerebrospinal Fluid from HAM/TSP Patients. Proceedings of the National Academy of Sciences of the United States of America, 95, 7568-7573.
https://doi.org/10.1073/pnas.95.13.7568
has been cited by the following article:
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TITLE:
Dynamic Analysis of an HTLV-I Infection Model Involving CTL Immune Responses and Immunotaxis
AUTHORS:
Hongyan Kang, Yinji Huang
KEYWORDS:
Immune Chemotaxis, Hopf Bifurcation, Periodic Solutions, Stability
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.14 No.8,
August
25,
2026
ABSTRACT: This paper investigates the Hopf bifurcation problem for a class of reaction-diffusion models of HTLV-I infection that incorporate CTL immune responses and immunochemotaxis. Using the chemotaxis coefficient as the bifurcation parameter, this paper derives the conditions for the existence of a Hopf bifurcation at a positive equilibrium point and the existence of periodic solutions. Furthermore, it determines the bifurcation direction and stability of the periodic solutions: if
ξ
k
0
H
″
(
0
)>0
, the bifurcation direction is supercritical, and the periodic solution is stable; if
ξ
k
0
H
″
(
0
)<0
, the bifurcation direction is subcritical, and the periodic solution is unstable.