Hopf Bifurcation of a Mathematical Model for Growth of Tumors with an Action of Inhibitor and Two Time Delays

A mathematical model for growth of tumors with two discrete delays is studied. The delays, respectively, represent the time taken for cells to undergo mitosis and the time taken for the cell to modify the rate of cell loss due to apoptosis and kill of cells by the inhibitor. We show the influence of...

Full description

Saved in:
Bibliographic Details
Published in:Abstract and Applied Analysis 2011-01, Vol.2011 (2011), p.4411-4420
Main Authors: Shi, Bao, Zhang, Fangwei, Xu, Shihe
Format: Article
Language:English
Subjects:
Apoptosis
Behavior
Bifurcation theory
Biomathematics
Growth
Mathematical models
Partial differential equations
Studies
Tumors
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:A mathematical model for growth of tumors with two discrete delays is studied. The delays, respectively, represent the time taken for cells to undergo mitosis and the time taken for the cell to modify the rate of cell loss due to apoptosis and kill of cells by the inhibitor. We show the influence of time delays on the Hopf bifurcation when one of delays is used as a bifurcation parameter.
ISSN:1085-3375
1687-0409
DOI:10.1155/2011/980686