2005-Oujda International Conference on Nonlinear Analysis, Oujda, Morocco.
Electron. J. Diff. Eqns., Conference 14 (2006), pp. 241-248.

Periodic solutions for small and large delays in a tumor-immune system model

Radouane Yafia

In this paper we study the Hopf bifurcation for the tumor-immune system model with one delay. This model is governed by a system of two differential equations with one delay. We show that the system may have periodic solutions for small and large delays for some critical value of the delay parameter via Hopf bifurcation theorem bifurcating from the non trivial steady state.

Published September 20, 2006.
Math Subject Classifications: 34K18.
Key Words: Tumor-Immune system competition; delayed differential equations; stability; Hopf bifurcation; periodic solutions.

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Radouane Yafia
Université Chouaib Doukkali Faculté des Sciences
Département de Mathématiques et Informatique
B. P. 20, El Jadida, Morocco
email: yafia@math.net

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