TITLE:
Hopf Bifurcation of Multiple Sclerosis Model with Time Delay and Saturation Function Reaction
AUTHORS:
Bing Jiang
KEYWORDS:
MS Model, Saturation Functional Response Function, Time Delay, Equilibrium Points, Stability, Hopf Bifurcation
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.13 No.4,
April
14,
2025
ABSTRACT: In this paper, the stability and Hopf bifurcation of multiple sclerosis model with time delay and saturation function reaction are studied. At first, the stability condition of trivial equilibrium point is given, and the stability of non-negative equilibrium point is discussed. Then, the existence condition of Hopf bifurcation is given by choosing the added time delay
τ
as the bifurcation parameter. The direction of Hopf bifurcation and the stability of its periodic solution are analyzed by using canonical form theory and central manifold theorem. Finally, the conclusion is drawn by numerical analysis.