Journal
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Volume 384, Issue 2, Pages 400-408Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2011.05.081
Keywords
Holling II type functional response; Positive periodic solution; Coincidence degree theorem; Lyapunov function; Global attractivity
Categories
Funding
- NSF of Anhui Province of China [10040606Q01]
- Bureau of Education of Anhui Province in China [KJ2011B003]
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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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