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Existence of positive periodic solutions for a class of Gilpin-Ayala ecological models with discrete and distributed time delays

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In this paper, we deal with a class of Gilpin-Ayala ecological models with discrete and distributed time delays. By employing a fixed point theorem of strict-set-contraction and inequality techniques, some… Click to show full abstract

In this paper, we deal with a class of Gilpin-Ayala ecological models with discrete and distributed time delays. By employing a fixed point theorem of strict-set-contraction and inequality techniques, some sufficient conditions for the existence of periodic solutions are established. As an application, one example is given to illustrate the validity of our main results.

Keywords: gilpin ayala; discrete distributed; class gilpin; models discrete; ayala ecological; ecological models

Journal Title: Advances in Difference Equations
Year Published: 2017

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