广义造血模型正周期解的存在性

IF 1.3 3区数学 Q2 MATHEMATICS, APPLIED

Bulletin des Sciences Mathematiques Pub Date : 2025-04-10 DOI:10.1016/j.bulsci.2025.103638

Jia Yuan , Lishan Liu , Haibo Gu , Yonghong Wu

{"title":"广义造血模型正周期解的存在性","authors":"Jia Yuan , Lishan Liu , Haibo Gu , Yonghong Wu","doi":"10.1016/j.bulsci.2025.103638","DOIUrl":null,"url":null,"abstract":"<div><div>This paper focuses on the generalized hematopoietic model with multiple variable delays and multiple exponents. Using the fixed point theorem of cone expansion and compression, it is proved that the hematopoiesis model in the sup-linear or sub-linear case must have a positive periodic solution. And it is deduced that there are two positive periodic solutions for the hematopoietic model when it has both sup-linear and sub-linear terms. In addition, several examples of the numerical simulations are given in this paper for illustration.</div></div>","PeriodicalId":55313,"journal":{"name":"Bulletin des Sciences Mathematiques","volume":"202 ","pages":"Article 103638"},"PeriodicalIF":1.3000,"publicationDate":"2025-04-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The existence of positive periodic solutions about generalized hematopoiesis model\",\"authors\":\"Jia Yuan , Lishan Liu , Haibo Gu , Yonghong Wu\",\"doi\":\"10.1016/j.bulsci.2025.103638\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>This paper focuses on the generalized hematopoietic model with multiple variable delays and multiple exponents. Using the fixed point theorem of cone expansion and compression, it is proved that the hematopoiesis model in the sup-linear or sub-linear case must have a positive periodic solution. And it is deduced that there are two positive periodic solutions for the hematopoietic model when it has both sup-linear and sub-linear terms. In addition, several examples of the numerical simulations are given in this paper for illustration.</div></div>\",\"PeriodicalId\":55313,\"journal\":{\"name\":\"Bulletin des Sciences Mathematiques\",\"volume\":\"202 \",\"pages\":\"Article 103638\"},\"PeriodicalIF\":1.3000,\"publicationDate\":\"2025-04-10\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Bulletin des Sciences Mathematiques\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0007449725000648\",\"RegionNum\":3,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Bulletin des Sciences Mathematiques","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0007449725000648","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}

引用次数: 0

摘要

研究了具有多变量延迟和多指数的广义造血模型。利用锥扩张和锥压缩的不动点定理，证明了在超线性或亚线性情况下造血模型必须有一个正周期解。并推导出造血模型在同时具有超线性项和亚线性项时存在两个正周期解。此外，文中还给出了数值模拟的几个例子进行说明。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

The existence of positive periodic solutions about generalized hematopoiesis model

This paper focuses on the generalized hematopoietic model with multiple variable delays and multiple exponents. Using the fixed point theorem of cone expansion and compression, it is proved that the hematopoiesis model in the sup-linear or sub-linear case must have a positive periodic solution. And it is deduced that there are two positive periodic solutions for the hematopoietic model when it has both sup-linear and sub-linear terms. In addition, several examples of the numerical simulations are given in this paper for illustration.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊