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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.

39A23 Periodic solutions of difference equations
92D25 Population dynamics (general)
Full Text: DOI
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