The Dynamical Behaviors for a Class of Immunogenic Tumor Model with Delay
Joint Authors
Bi, Ping
Pang, Jian-Hua
Muthoni, Mutei Damaris
Liu, Zijian
Source
Computational and Mathematical Methods in Medicine
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-10-25
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
This paper aims at studying the model proposed by Kuznetsov and Taylor in 1994.
Inspired by Mayer et al., time delay is introduced in the general model.
The dynamic behaviors of this model are studied, which include the existence and stability of the equilibria and Hopf bifurcation of the model with discrete delays.
The properties of the bifurcated periodic solutions are studied by using the normal form on the center manifold.
Numerical examples and simulations are given to illustrate the bifurcation analysis and the obtained results.
American Psychological Association (APA)
Bi, Ping& Liu, Zijian& Muthoni, Mutei Damaris& Pang, Jian-Hua. 2017. The Dynamical Behaviors for a Class of Immunogenic Tumor Model with Delay. Computational and Mathematical Methods in Medicine،Vol. 2017, no. 2017, pp.1-9.
https://search.emarefa.net/detail/BIM-1141956
Modern Language Association (MLA)
Bi, Ping…[et al.]. The Dynamical Behaviors for a Class of Immunogenic Tumor Model with Delay. Computational and Mathematical Methods in Medicine No. 2017 (2017), pp.1-9.
https://search.emarefa.net/detail/BIM-1141956
American Medical Association (AMA)
Bi, Ping& Liu, Zijian& Muthoni, Mutei Damaris& Pang, Jian-Hua. The Dynamical Behaviors for a Class of Immunogenic Tumor Model with Delay. Computational and Mathematical Methods in Medicine. 2017. Vol. 2017, no. 2017, pp.1-9.
https://search.emarefa.net/detail/BIM-1141956
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1141956
