Journal
APPLIED MATHEMATICAL MODELLING
Volume 34, Issue 9, Pages 2477-2483Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.apm.2009.11.012
Keywords
Periodic solutions; Predator-prey system; Functional response
Funding
- Natural Science Foundation of China [10801056, 10971057]
- Natural Science Foundation of Guangdong [8451063101000730]
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This note investigates the existence of periodic solutions for discrete semi-ratio-dependent predator-prey models with functional response. New criteria are derived in which this system with prey-dependent (monotonic or non-monotonic) and predator-dependent functional response bounded by polynomials in R always has at least one omega-periodic solution, which improves and extends many previous results [1-5]. Some interesting numerical examples are given to illustrate our results. (C) 2009 Elsevier Inc. All rights reserved.
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