Number of positive periodic solutions for first-order nonlinear difference equations with feedback
作者：
Highlights：
• Factors that decide the number of positive periodic solutions of difference equations with delayed feedback are elucidated.
• The difference equations to be considered appear in many models that describe the physiological process.
• Krasnosel’skii fixed point theorem plays an active role in proving the main result.
• Concrete examples is presented in which the existence of at least four positive periodic solutions is guaranteed.
• Simulations reveals that there are exactly four positive periodic solutions in the examples.
摘要
•Factors that decide the number of positive periodic solutions of difference equations with delayed feedback are elucidated.•The difference equations to be considered appear in many models that describe the physiological process.•Krasnosel’skii fixed point theorem plays an active role in proving the main result.•Concrete examples is presented in which the existence of at least four positive periodic solutions is guaranteed.•Simulations reveals that there are exactly four positive periodic solutions in the examples.
论文关键词：Scalar nonlinear difference equations,Feedback delay,Number of positive periodic solutions,Krasnosel’skii fixed-point theorem,Numerical simulation,Discrete hematopoiesis model
论文评审过程：Received 16 May 2020, Revised 22 August 2020, Accepted 30 August 2020, Available online 5 October 2020, Version of Record 5 October 2020.
论文官网地址：https://doi.org/10.1016/j.amc.2020.125626
