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

Joint Authors

Zhang, Fangwei
Xu, Shihe
Shi, Bao

Source

Abstract and Applied Analysis

Issue

Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-10, 10 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2011-03-22

Country of Publication

Egypt

No. of Pages

10

Main Subjects

Mathematics

Abstract EN

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.

American Psychological Association (APA)

Shi, Bao& Zhang, Fangwei& Xu, Shihe. 2011. Hopf Bifurcation of a Mathematical Model for Growth of Tumors with an Action of Inhibitor and Two Time Delays. Abstract and Applied Analysis،Vol. 2011, no. 2011, pp.1-10.
https://search.emarefa.net/detail/BIM-513218

Modern Language Association (MLA)

Shi, Bao…[et al.]. Hopf Bifurcation of a Mathematical Model for Growth of Tumors with an Action of Inhibitor and Two Time Delays. Abstract and Applied Analysis No. 2011 (2011), pp.1-10.
https://search.emarefa.net/detail/BIM-513218

American Medical Association (AMA)

Shi, Bao& Zhang, Fangwei& Xu, Shihe. Hopf Bifurcation of a Mathematical Model for Growth of Tumors with an Action of Inhibitor and Two Time Delays. Abstract and Applied Analysis. 2011. Vol. 2011, no. 2011, pp.1-10.
https://search.emarefa.net/detail/BIM-513218

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-513218