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Positive periodic solutions for discrete population models. (English) Zbl 1053.39027

The authors study delay discrete population models of the form \[ x(n+1)=a(n)x(n)+\lambda h(n)f(x(n-\tau(n))), \;n\in \mathbb{Z}, \tag{E} \] where \(\{a(n)\}_{n\in \mathbb{Z}}\) and \(\{h(n)\}_{n\in \mathbb{Z}}\) are positive \(\omega\)-periodic sequences, \(\{\tau(n)\}_{n\in \mathbb{Z}}\) is an integer valued \(\omega\)-periodic sequence and \(\lambda\) is a positive parameter. By using Krasnosel’skij’s fixed point theorem, some existence criteria are established for the periodic solutions of the equation (E).

MSC:

39A11 Stability of difference equations (MSC2000)
92D25 Population dynamics (general)
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