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Global Existence of Periodic Solutions in a Delayed Tumor-Immune Model

Published online by Cambridge University Press:  26 August 2010

A. Taik ,
A. Kaddar  and
H. Talibi Alaoui
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Abstract

This paper is devoted to the study of global existence of periodic solutions of a delayed tumor-immune competition model. Also some numerical simulations are given to illustrate the theoretical results

Keywords

tumor-immune modeldelayed differential equationsHopf bifurcationperiodic solutions
Type
Research Article
Information
Mathematical Modelling of Natural Phenomena , Volume 5 , Issue 7: JANO9 – The 9th International Conference on Numerical Analysis and Optimization , 2010 , pp. 29 - 34
Copyright
© EDP Sciences, 2010

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References

Cooke, K.L., Grossman, Z.. Discrete delay, distributed delay and stability switches . Journal of Mathematical Analysis and Applications, 86 (1982), No. 2, 592–627.CrossRefGoogle Scholar
Gałach, M.. Dynamics of the tumor-immune system competition: the effect of time delay . Int. J. Appl. Comput. Sci., 13 (2003), No. 3, 395–406.Google Scholar
Kuznetsov, V.A., Taylor, M.A.. Nonlinear dynamics of immunogenic tumors: Parameter estimation and global bifurcation analysis . Bull. Math. Biol., 56 (1994), No. 2, 295–321.CrossRefGoogle ScholarPubMed
Wu, J.. Symmetric functional differential equation and neural networks with memory . Trans. Am. Math. Sco., 350 (1998), No. 12, 4799–4838.CrossRefGoogle Scholar
J. K. Hale, H. Koçak. Dynamics and bifurcations. Springer- Verlag, New York, 1991.
J. K. Hale, S.M. Verduyn Lunel. Introduction to functional differential equations. Springer- Verlag, New York, 1993.