期刊
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
卷 384, 期 2, 页码 400-408出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2011.05.081
关键词
Holling II type functional response; Positive periodic solution; Coincidence degree theorem; Lyapunov function; Global attractivity
资金
- NSF of Anhui Province of China [10040606Q01]
- Bureau of Education of Anhui Province in China [KJ2011B003]
In this paper, by utilizing the coincidence degree theorem and constructing a suitable Lyapunov function the predator-prey model with modified Leslie-Gower Holling-type II schemes is studied. Some sufficient conditions are obtained for the existence and global attractivity of positive periodic solutions of this model. Furthermore, one example shows that the obtained criteria are easily verifiable. (C) 2011 Elsevier Inc. All rights reserved.
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