AMEL BOUDERMINE, MOHAMEDHELAL, ABDELKADERLAKMECHE

BIFURCATION OF NONTRIVIAL PERIODIC SOLUTIONS FOR PULSED CHEMOTHERAPY MODEL

ISSN: 2147-6268
Yayın Aralığı: 4
Başlangıç: 2013
Yayıncı: -

A pulsed chemotherapeutic treatment model is investigated in thiswork. We prove the existence of nontrivial periodic solutions by the mean ofLyapunov-Schmidt bifurcation method of a cancer model. The results obtainedare applied to the model with competition between normal, sensitive tumor andresistant tumor cells. The existence of bifurcated nontrivial periodic solutionsare discussed with respect to the competition parameter values

Keywords:

Impulsive differential equations, Stability Lyapunov-Schmidt bifurcation, Periodic solutions, Chemotherapy,

PDF

___

S. N. Chow and J. Hale, Bifurcation theory, Springer Verlag, 1984.
G. Iooss, Bifurcation of maps and applications, Study of mathematics, North Holland, 1979. [3] A. Lakmeche and O. Arino, Nonlinear mathematical model of pulsed-therapy of heterogeneous tumors, Nonlinear Anal. Real World Appl., 2, (2001), 455-465.