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arXiv · 2008.01530

Positive periodic solutions for periodic predator-prey systems of Leslie-Gower or Holling-Tanner type

Dimiter Tsvetkov·Ralitsa Angelova-Slavova
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Abstract

In this paper, we consider periodic predator-prey systems of Leslie-Gower or Holling-Tanner type, assuming that the coefficients are continuous positive $\omega$-periodic functions. We prove an existence of positive $\omega$-periodic solutions by means of operator method in Banach spaces with cones. No constructive conditions are required for the coefficients, besides the positivity and periodicity. At the end we point out that the used approach can be applied with minor changes for proving the existence of positive $\omega$-periodic solutions even in the case of certain delays.

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Dimiter Tsvetkov, Ralitsa Angelova-Slavova. 2020-08-04. Positive periodic solutions for periodic predator-prey systems of Leslie-Gower or Holling-Tanner type. https://arxiv.org/abs/2008.01530

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