arXiv:math/0601591 Abstract

arXiv:math/0601591 [math.DS]Abstract References Reviews Resources

A dynamic p53-mdm2 model with distributed time delay

Published 2006-01-24Version 1

The objective of this paper is to investigate the stability of limit cycles of a mathematical model with a distributed delay which describes the interaction between p53 and mdm2. Choosing the delay as a bifurcation parameter we study the direction and stability of the bifurcating periodic solutions using the normal form and the center manifold theorem. Some numerical examples are finally made in order to confirm the theoretical results.

Comments: 15 pages, 2 figures

Categories: math.DS

Subjects: 34C23, 34C25, 37G05, 37G15, 92D10

Keywords: dynamic p53-mdm2 model, distributed time delay, center manifold theorem, bifurcation parameter, limit cycles

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