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Zbl 1195.39004
Liu, Xiuxiang
A note on the existence of periodic solutions in discrete predator-prey models.
(English)
[J] Appl. Math. Modelling 34, No. 9, 2477-2483 (2010). ISSN 0307-904X

Summary: 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 $\bbfR^+$ always has at least one $\omega$-periodic solution, which improves and extends many previous results. Some interesting numerical examples are given to illustrate our results.
MSC 2000:
*39A23
92D25 Population dynamics

Keywords: periodic solutions; predator-prey system; functional response

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