Number of positive periodic solutions for first-order nonlinear difference equations with feedback

DOI10.1016/J.AMC.2020.125626zbMath1474.39032OpenAlexW3090049015MaRDI QIDQ2661020

Jitsuro Sugie

Publication date: 1 April 2021

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2020.125626

zbMATH Keywords

numerical simulationfeedback delayKrasnosel'skii fixed-point theoremdiscrete hematopoiesis modelnumber of positive periodic solutionsscalar nonlinear difference equations

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Cell biology (92C37) General biology and biomathematics (92B05) Periodic solutions of difference equations (39A23) Applications of difference equations (39A60)

Cites Work

• Unnamed Item
• Multiple periodic solutions for discrete Nicholson's blowflies type system
• On the stability and uniform persistence of a discrete model of Nicholson's blowflies
• Existence of multiple positive periodic solutions for discrete hematopoiesis models with a unimodal production function
• Existence regions of positive periodic solutions for a discrete hematopoiesis model with unimodal production functions
• Impulsive stabilization of delay difference equations and its application in Nicholson's blowflies model
• Oscillation and global attractivity in a discrete model of Nicholson's blowflies
• Global attractivity and presistence in a discrete population model^*
• Oscillation and Chaos in Physiological Control Systems

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