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
References
- 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.
Abstract
References
- 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.
Details
| Primary Language | English |
|---|---|
| Authors | |
| Submission Date | March 9, 2015 |
| Publication Date | December 1, 2014 |
| DOI | https://doi.org/10.36753/mathenot.207620 |
| IZ | https://izlik.org/JA65ZZ56RG |
| Published in Issue | Year 2014 Volume: 2 Issue: 2 |
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