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Journal of Applied Mathematics and Computing

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16-11-2022 | Original Research

Existence, uniqueness and stability of positive periodic solutions for an iterative Nicholson’s blowflies equation

Author: Rabah Khemis

Published in: Journal of Applied Mathematics and Computing | Issue 2/2023

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Abstract

The main motive and, at the same time, the goal of this work is to investigate a revisited Nicholson’s blowflies equation that involves a time varying delay and an iterative term. We make use of Schauder’s fixed point theorem to tackle the existence of positive periodic solutions and under an additional condition, we apply the Banach contraction principle for establishing the existence, uniqueness and stability results. Finally, we give two examples to illustrate the effectiveness of our main results that are completely new and complement some earlier investigations to some extent.

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Title: Existence, uniqueness and stability of positive periodic solutions for an iterative Nicholson’s blowflies equation
Author: Rabah Khemis
Publication date: 16-11-2022
Publisher: Springer Berlin Heidelberg
Published in: Journal of Applied Mathematics and Computing / Issue 2/2023
Print ISSN: 1598-5865
Electronic ISSN: 1865-2085
DOI: https://doi.org/10.1007/s12190-022-01820-0

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