We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
State-Dependent Impulsive Control Strategies for a Tumor-Immune Model.
- Authors
Kim, Kwang Su; Cho, Giphil; Nie, Lin-Fei; Jung, Il Hyo
- Abstract
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.
- Subjects
TUMOR treatment; TUMOR growth prevention; POINCARE maps (Mathematics); COMPUTER simulation; PERIODIC health examinations
- Publication
Discrete Dynamics in Nature & Society, 2016, p1
- ISSN
1026-0226
- Publication type
Article
- DOI
10.1155/2016/2979414