| Issue |
ITM Web of Conferences
Volume 4, 2015
Workshop on Mathematics for Life Sciences (WMLS 2014)
|
|
|---|---|---|
| Article Number | 01004 | |
| Number of page(s) | 11 | |
| DOI | https://doi.org/10.1051/itmconf/20150401004 | |
| Published online | 07 May 2015 | |
Mathematical model for pulsed chemotherapy
Laboratory of Biomathematics, Univ. Sidi Bel Abbes, PB. 89, Sidi Bel Abbes 22000, Algeria
a e-mail: lakahmed2000@yahoo.fr
b e-mail: mhelal_abbes@yahoo.fr
c e-mail: lakmeche@yahoo.fr
A pulsed chemotherapeutic treatment model is investigated in this work. We prove the existence of nontrivial periodic solutions by the mean of Lyapunov-Schmidt bifurcation method of a cancer model. In this model we consider the case of application of two drugs, the first one P with continuous effect, it appears in the differential equations, and the second one T with instantaneous effects expressed by impulse equations. The existence of bifurcated nontrivial periodic solutions are discussed with respect to the competition parameter values.
© Owned by the authors, published by EDP Sciences, 2015
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