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Existence of positive periodic solutions of nonlinear discrete model exhibiting the Allee effect. (English) Zbl 1087.39015
Using the coincidence degree theorem as well as some a priori estimates, the authors establish a sufficient condition for the existence of positive periodic solution to the discrete nonlinear delay population model with Allee effect $x(n+1)=x(n)\exp(a(n)+b(n)x^p(n-\omega)-c(n)x^q(n-\omega)),$ where $$a(n)$$, $$b(n)$$, and $$c(n)$$ are positive sequences of period $$\omega$$ and $$p$$ and $$q$$ are positive integers.

##### MSC:
 39A11 Stability of difference equations (MSC2000) 92D25 Population dynamics (general)
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##### References:
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