This study considers a Nicholson-type blowflies model with nonlinear decimation terms in a periodic environment. The sufficient condition for this model to have at least two positive periodic solutions is elucidated. Our result is obtained by applying the Krasnoselskii fixed point theorem. Example and its simulations are given to illustrate our result.

Nicholson’s blowflies model, positive periodic solution, multiple time delays, Krasnoselskii’s fixed point theorem.

Received: March 11, 2022; Accepted: April 25, 2022; Published: June 2, 2022

How to cite this article: Yidi Zhao, Shaowen Liu, Yuqi Cao, Qing Ma and Yan Yan, Multiplicity of positive periodic solutions for a Nicholson-type blowflies model with nonlinear decimation terms, Advances in Differential Equations and Control Processes 28 (2022), 37-53. http://dx.doi.org/10.17654/0974324322023

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

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