Hostname: page-component-cd9895bd7-dk4vv Total loading time: 0 Render date: 2024-12-23T01:15:19.874Z Has data issue: false hasContentIssue false
  • English
  • Français

Global Existence of Periodic Solutions in a DelayedTumor-Immune Model

Published online by Cambridge University Press:  26 August 2010

A. Taik ,
A. Kaddar  and
H. Talibi Alaoui
Get access

Abstract

This paper is devoted to the study of global existence of periodic solutions of a delayedtumor-immune competition model. Also some numerical simulations are given to illustratethe 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 9thInternational Conference on Numerical Analysis and Optimization , 2010 , pp. 29 - 34
Copyright
© EDP Sciences, 2010

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

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.