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A note on the existence of periodic solutions in discrete predator-prey models. (English) Zbl 1195.39004
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 \(\mathbb{R}^+\) 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:
39A23 Periodic solutions of difference equations
92D25 Population dynamics (general)
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