BIFURCATION OF NONTRIVIAL PERIODIC SOLUTIONS FOR PULSED CHEMOTHERAPY MODEL

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Mathematical Sciences and Applications E-Notes
Volume:2 Issue:2
BIFURCATION OF NONTRIVIAL PERIODIC SOLUTIONS FOR PULSED CHEMOTHERAPY MODEL

BIFURCATION OF NONTRIVIAL PERIODIC SOLUTIONS FOR PULSED CHEMOTHERAPY MODEL

Authors : AMEL BOUDERMINE, MOHAMEDHELAL, ABDELKADERLAKMECHE

Pages : 22-44

Doi:10.36753/mathenot.207620

View : 33 | Download : 5

Publication Date : 2014-12-01

Article Type : Research Paper

Abstract :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

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