期刊
APPLIED MATHEMATICS AND COMPUTATION
卷 230, 期 -, 页码 587-596出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2013.12.140
关键词
Lotka-Volterra system; Permanence; Extinction
资金
- NSFC [11201213]
- NSF of Shandong Province [ZR2010AM022]
- outstanding young and middle-aged scientists research award fund of Shandong Province [BS2011SF004]
A three dimensional nonautonomous competitive Lotka-Volterra system is considered in this paper. It is shown that if the growth rates are positive, bounded and continuous functions, and the averages of the growth rates satisfy certain inequalities, then any positive solution has the property that one of its components vanishes. Moreover, if one of the above inequalities is changed, then all components of any positive solution have positive infimum. (C) 2014 Elsevier Inc. All rights reserved.
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