Journal
APPLIED MATHEMATICS AND COMPUTATION
Volume 230, Issue -, Pages 587-596Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2013.12.140
Keywords
Lotka-Volterra system; Permanence; Extinction
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Funding
- NSFC [11201213]
- NSF of Shandong Province [ZR2010AM022]
- outstanding young and middle-aged scientists research award fund of Shandong Province [BS2011SF004]
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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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