Existence and uniqueness results for a neutral erythropoiesis model with iterative production and harvesting terms

IF 0.4 Q4 MATHEMATICS Boletim Sociedade Paranaense de Matematica Pub Date : 2022-12-27 DOI:10.5269/bspm.62529
Marwa Khemis, Ahlème Bouakkaz
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引用次数: 0

Abstract

The main objective of this work is to study the existence, uniqueness and stability of positive periodic solutions for a first-order neutral differential equation with iterative terms which models the regulation of red blood cell production under a harvesting strategy. Benefiting from the Krasnoselskii's fixed point theorem as well as some properties of an obtained Green's function, we establish the existence of the solutions and taking advantage of the Banach fixed point theorem, we prove that the proposed equation has exactly one solution that depends continuously on parameters. Finally, two examples are exhibited to show the efficiency and application of our findings which are completely new and enrich the existing literature.
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具有迭代产生项和收获项的中性红细胞生成模型的存在唯一性结果
这项工作的主要目的是研究一个具有迭代项的一阶中立型微分方程正周期解的存在性、唯一性和稳定性,该方程在收获策略下对红细胞产生的调节进行建模。利用Krasnoselskii不动点定理以及得到的Green函数的一些性质,我们建立了解的存在性,并利用Banach不动点定理,证明了所提出的方程只有一个连续依赖于参数的解。最后,通过两个例子展示了我们的发现的有效性和应用性,这些发现是全新的,丰富了现有的文献。
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来源期刊
CiteScore
1.40
自引率
0.00%
发文量
140
审稿时长
25 weeks
期刊最新文献
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