Article citationsMore>>

Tabarkiewicz, J., Pogoda, K., Karczmarczyk, A., Pozarowski, P. and Giannopoulos, K. (2015) The Role of IL-17 and Th17 Lymphocytes in Autoimmune Diseases. Archivum Immunologiae et Therapiae Experimentalis, 63, 435-449.
https://doi.org/10.1007/s00005-015-0344-z

has been cited by the following article:

• 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.