Radouane Yafia
Abstract:
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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