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.