State-dependent impulsive control strategies for a tumor-immune model
type: Item
instance of: scholarly article
title: State-dependent impulsive control strategies for a tumor-immune model
zbMATH Open document ID: 1376.92022
DOI: 10.1155/2016/2979414
author: Kwang Su Kim
author: Giphil Cho
author: Linfei Nie
author: Il Hyo Jung
published in: Discrete Dynamics in Nature and Society
publication date: 2017-11-13T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 92C50
zbMATH DE Number: 6806283
zbMATH Keywords: state-dependent impulsive treatments
zbMATH Keywords: Poincaré map
zbMATH Keywords: periodic solution
Wikidata QID: Q59123435
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2016/2979414
OpenAlex ID: W2521661165
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description: scientific article; zbMATH DE number 6806283