Geodesic
Global Existence of Periodic Solutions in a Delayed Tumor-Immune Model
A. Kaddar1 ; H. Talibi Alaoui1
1 Department of Mathematics, Chouaib Doukkali University Faculty of Sciences, El Jadida, Morocco
Mathematical modelling of natural phenomena, Tome 5 (2010) no. 7 Supplement, pp. 29-34.

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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
DOI : 10.1051/mmnp/20105705

A. Kaddar 1 ; H. Talibi Alaoui 1

1 Department of Mathematics, Chouaib Doukkali University Faculty of Sciences, El Jadida, Morocco 
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A. Kaddar; H. Talibi Alaoui. Global Existence of Periodic Solutions in a Delayed Tumor-Immune Model. Mathematical modelling of natural phenomena, Tome 5 (2010) no. 7 Supplement, pp. 29-34. doi : 10.1051/mmnp/20105705. http://geodesic.mathdoc.fr/articles/10.1051/mmnp/20105705/

[1] K.L. Cooke, Z. Grossman Discrete delay, distributed delay and stability switches Journal of Mathematical Analysis and Applications 1982 592 627

[2] M. Gałach Dynamics of the tumor-immune system competition: the effect of time delay Int. J. Appl. Comput. Sci. 2003 395 406

[3] V.A. Kuznetsov, M.A. Taylor Nonlinear dynamics of immunogenic tumors: Parameter estimation and global bifurcation analysis Bull. Math. Biol. 1994 295 321

[4] J. Wu Symmetric functional differential equation and neural networks with memory Trans. Am. Math. Sco. 1998 4799 4838

[5] J. K. Hale, H. Koçak. Dynamics and bifurcations. Springer- Verlag, New York, 1991.

[6] J. K. Hale, S.M. Verduyn Lunel. Introduction to functional differential equations. Springer- Verlag, New York, 1993.

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