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arXiv · 2112.05713

On persistence of a Nicholson-type system with multiple delays and nonlinear harvesting

Pablo Amster·Melanie Bondorevsky
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Abstract

An N-dimensional generalization of Nicholson's equation is analyzed. We consider a model including multiple delays, nonlinear coefficients and a nonlinear harvesting term. Inspired by previous results in this subject, we obtain sufficient conditions to guarantee strong and uniform persistence. Furthermore, under extra suitable hypotheses we prove the existence of T-periodic solutions and, reversing the prior conditions in a convenient manner, we show that the zero is a global attractor.

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Pablo Amster, Melanie Bondorevsky. 2021-12-10. On persistence of a Nicholson-type system with multiple delays and nonlinear harvesting. https://arxiv.org/abs/2112.05713

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