Journal
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
Volume 12, Issue 6, Pages 3654-3664Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.nonrwa.2011.06.022
Keywords
Global attractivity; Mawhin's coincidence theorem; Positive periodic solution; Lyapunov functional; Holling III type functional response
Categories
Funding
- Natural Science Foundation of China [11071205]
- Natural Science Foundation of Jiangsu Province [BK2008119]
- Qing Lan Project and Innovation Project of Jiangsu Province postgraduate training project
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In this paper, a Volterra model with mutual interference and Holling III type functional response is investigated, some sufficient conditions which guarantee the existence and global attractivity of a positive periodic solution for the system are obtained and two examples are given to verify the results by using MatLab. Furthermore, our results improve the main results in the literature. (C) 2011 Elsevier Ltd. All rights reserved.
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