A Time-Delayed Mathematical Model for Tumor Growth with the Effect of a Periodic Therapy
Joint Authors
Wei, Xiangqing
Zhang, Fangwei
Xu, Shihe
Source
Computational and Mathematical Methods in Medicine
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-05-05
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
A time-delayed mathematical model for tumor growth with the effect of periodic therapy is studied.
The establishment of the model is based on the reaction-diffusion dynamics and mass conservation law and is considered with a time delay in cell proliferation process.
Sufficient conditions for the global stability of tumor free equilibrium are given.
We also prove that if external concentration of nutrients is large the tumor will not disappear and the conditions under which there exist periodic solutions to the model are also determined.
Results are illustrated by computer simulations.
American Psychological Association (APA)
Xu, Shihe& Wei, Xiangqing& Zhang, Fangwei. 2016. A Time-Delayed Mathematical Model for Tumor Growth with the Effect of a Periodic Therapy. Computational and Mathematical Methods in Medicine،Vol. 2016, no. 2016, pp.1-8.
https://search.emarefa.net/detail/BIM-1100117
Modern Language Association (MLA)
Xu, Shihe…[et al.]. A Time-Delayed Mathematical Model for Tumor Growth with the Effect of a Periodic Therapy. Computational and Mathematical Methods in Medicine No. 2016 (2016), pp.1-8.
https://search.emarefa.net/detail/BIM-1100117
American Medical Association (AMA)
Xu, Shihe& Wei, Xiangqing& Zhang, Fangwei. A Time-Delayed Mathematical Model for Tumor Growth with the Effect of a Periodic Therapy. Computational and Mathematical Methods in Medicine. 2016. Vol. 2016, no. 2016, pp.1-8.
https://search.emarefa.net/detail/BIM-1100117
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1100117
