- Mathematical Sciences and Applications E-Notes
- Vol: 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 : 8 | Download : 4
Publication Date : 2014-12-01
Article Type : Other
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 valuesKeywords : Impulsive differential equations, Stability, Lyapunov-Schmidt bifurcation, Periodic solutions, Chemotherapy