Global Existence of Periodic Solutions in a Delayed Tumor-Immune Model
Mathematical Modelling of Natural Phenomena (2010)
- Volume: 5, Issue: 7, page 29-34
- ISSN: 0973-5348
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topKaddar, A., and Talibi Alaoui, H.. Taik, A., ed. "Global Existence of Periodic Solutions in a Delayed Tumor-Immune Model." Mathematical Modelling of Natural Phenomena 5.7 (2010): 29-34. <http://eudml.org/doc/197662>.
@article{Kaddar2010,
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},
author = {Kaddar, A., Talibi Alaoui, H.},
editor = {Taik, A.},
journal = {Mathematical Modelling of Natural Phenomena},
keywords = {tumor-immune model; delayed differential equations; Hopf bifurcation; periodic solutions},
language = {eng},
month = {8},
number = {7},
pages = {29-34},
publisher = {EDP Sciences},
title = {Global Existence of Periodic Solutions in a Delayed Tumor-Immune Model},
url = {http://eudml.org/doc/197662},
volume = {5},
year = {2010},
}
TY - JOUR
AU - Kaddar, A.
AU - Talibi Alaoui, H.
AU - Taik, A.
TI - Global Existence of Periodic Solutions in a Delayed Tumor-Immune Model
JO - Mathematical Modelling of Natural Phenomena
DA - 2010/8//
PB - EDP Sciences
VL - 5
IS - 7
SP - 29
EP - 34
AB - 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
LA - eng
KW - tumor-immune model; delayed differential equations; Hopf bifurcation; periodic solutions
UR - http://eudml.org/doc/197662
ER -
References
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- V.A. Kuznetsov, M.A. Taylor. Nonlinear dynamics of immunogenic tumors: Parameter estimation and global bifurcation analysis. Bull. Math. Biol., 56 (1994), No. 2, 295–321.
- J. Wu. Symmetric functional differential equation and neural networks with memory. Trans. Am. Math. Sco., 350 (1998), No. 12, 4799–4838.
- 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.
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