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

Changjin Xu, Wei Zhang and Peiluan Li

Mathematical Problems in Engineering, 2021, vol. 2021, 1-11

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.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:9734342

DOI: 10.1155/2021/9734342

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