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State-Dependent Impulsive Control Strategies for a Tumor-Immune Model
Joint Authors
Nie, Lin-Fei
Jung, Il Hyo
Cho, Giphil
Kim, Kwang Su
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-09-20
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
Controlling the number of tumor cells leads us to expect more efficient strategies for treatment of tumor.
Towards this goal, a tumor-immune model with state-dependent impulsive treatments is established.
This model may give an efficient treatment schedule to control tumor’s abnormal growth.
By using the Poincaré map and analogue of Poincaré criterion, some conditions for the existence and stability of a positive order-1 periodic solution of this model are obtained.
Moreover, we carry out numerical simulations to illustrate the feasibility of our main results and compare fixed-time impulsive treatment effects with state-dependent impulsive treatment effects.
The results of our simulations say that, in determining optimal treatment timing, the model with state-dependent impulsive control is more efficient than that with fixed-time impulsive control.
American Psychological Association (APA)
Kim, Kwang Su& Cho, Giphil& Nie, Lin-Fei& Jung, Il Hyo. 2016. State-Dependent Impulsive Control Strategies for a Tumor-Immune Model. Discrete Dynamics in Nature and Society،Vol. 2016, no. 2016, pp.1-10.
https://search.emarefa.net/detail/BIM-1103392
Modern Language Association (MLA)
Kim, Kwang Su…[et al.]. State-Dependent Impulsive Control Strategies for a Tumor-Immune Model. Discrete Dynamics in Nature and Society No. 2016 (2016), pp.1-10.
https://search.emarefa.net/detail/BIM-1103392
American Medical Association (AMA)
Kim, Kwang Su& Cho, Giphil& Nie, Lin-Fei& Jung, Il Hyo. State-Dependent Impulsive Control Strategies for a Tumor-Immune Model. Discrete Dynamics in Nature and Society. 2016. Vol. 2016, no. 2016, pp.1-10.
https://search.emarefa.net/detail/BIM-1103392
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1103392