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Periodic Oscillating Dynamics for a Delayed Nicholson-Type Model with Harvesting Terms

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In this manuscript, a delayed Nicholson-type model with linear harvesting terms is investigated. Applying coincidence degree theory, we establish a sufficient condition which guarantees the existence of positive periodic solutions… Click to show full abstract

In this manuscript, a delayed Nicholson-type model with linear harvesting terms is investigated. Applying coincidence degree theory, we establish a sufficient condition which guarantees the existence of positive periodic solutions for the delayed Nicholson-type model. By constructing suitable Lyapunov functions, a new criterion for the uniqueness and global attractivity of the periodic solution of the Nicholson-type delay system is obtained. The derived results of this article are completely new and complement some previous investigations.

Keywords: delayed nicholson; type model; nicholson type; harvesting terms; periodic oscillating

Journal Title: Mathematical Problems in Engineering
Year Published: 2021

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