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

Changjin Xu | Zendy; Wei Zhang | Zendy; Peiluan Li | Zendy

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

Author(s) -

Changjin Xu,

Wei Zhang,

Peiluan Li

Publication year - 2021

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2021/9734342

Subject(s) - uniqueness , mathematics , complement (music) , type (biology) , coincidence , mathematical analysis , degree (music) , control theory (sociology) , computer science , physics , medicine , ecology , biochemistry , chemistry , alternative medicine , control (management) , pathology , artificial intelligence , complementation , biology , acoustics , gene , phenotype

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.

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