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Diffusive tumor-immune interaction systems under immunotherapy
- Authors
- Ko, Wonlyul; Ahn, Inkyung
- Issue Date
- 12월-2011
- Publisher
- PERGAMON-ELSEVIER SCIENCE LTD
- Keywords
- Tumor-immune interaction; Global attractor; Degree theory; Upper-lower solution; Periodic solutions; Coexistence states
- Citation
- NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, v.12, no.6, pp.3035 - 3045
- Indexed
- SCIE
SCOPUS
- Journal Title
- NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
- Volume
- 12
- Number
- 6
- Start Page
- 3035
- End Page
- 3045
- ISSN
- 1468-1218
- Abstract
- This paper addresses a diffusive tumor-immune system under immunotherapy. First, we examine the global attractor that indicates the large time behavior of the time-dependent system. The results indicate that extinction of the tumor cells could be eradicated as a result of the treatment effects. Second, we investigate the existence of positive periodic solutions for the time-dependent system by using topological degree theory. Finally, we determine the sufficient and necessary conditions for positive coexistence states. (C) 2011 Elsevier Ltd. All rights reserved.
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Related Researcher
- Ahn, In Kyung
- 과학기술대학 (응용수리과학부 데이터계산과학전공)