Journal
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING
Volume 33, Issue 1-2, Pages 125-135Publisher
SPRINGER HEIDELBERG
DOI: 10.1007/s12190-009-0277-y
Keywords
Discrete; Periodic solution; Permanence; Global stability
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Funding
- Scientific Research Fund of Heilongjiang Provincial Education Department of P.R.China [11531428]
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In this paper, we propose a discrete semi-ratio dependent predator-prey system with Holling II type functional response. For general nonautonomous case, sufficient conditions which ensure the permanence and the global stability of the system are obtained; for periodic case, sufficient conditions which ensure the existence of a globally stable positive periodic solution of the system are obtained.
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