具有Beddington-Deangelis功能响应的年龄结构捕食者-猎物模型的渐近分析

IF 1.8 3区数学 Q1 MATHEMATICS, APPLIED

Nonlinear Analysis-Real World Applications Pub Date : 2025-03-01 DOI:10.1016/j.nonrwa.2025.104345

Yuan Yuan , Xianlong Fu

{"title":"具有Beddington-Deangelis功能响应的年龄结构捕食者-猎物模型的渐近分析","authors":"Yuan Yuan , Xianlong Fu","doi":"10.1016/j.nonrwa.2025.104345","DOIUrl":null,"url":null,"abstract":"<div><div>This paper focuses on the asymptotic behavior of an age-structured predator–prey model with Beddington–Deangelis functional response and two delays. The model is first formulated as an abstract non-densely defined Cauchy problem and the existence of the equilibria is obtained under some conditions. Then, the global asymptotic stability of the boundary equilibrium is successfully established by determining the distribution of eigenvalues. Hopf bifurcation results with two parameters are also well described under some conditions by the method of stability switching curves. Finally, some numerical examples are presented to further deepen the understanding of the obtained results.</div></div>","PeriodicalId":49745,"journal":{"name":"Nonlinear Analysis-Real World Applications","volume":"85 ","pages":"Article 104345"},"PeriodicalIF":1.8000,"publicationDate":"2025-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Asymptotic analysis for an age-structured predator–prey model with Beddington–Deangelis functional response\",\"authors\":\"Yuan Yuan , Xianlong Fu\",\"doi\":\"10.1016/j.nonrwa.2025.104345\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>This paper focuses on the asymptotic behavior of an age-structured predator–prey model with Beddington–Deangelis functional response and two delays. The model is first formulated as an abstract non-densely defined Cauchy problem and the existence of the equilibria is obtained under some conditions. Then, the global asymptotic stability of the boundary equilibrium is successfully established by determining the distribution of eigenvalues. Hopf bifurcation results with two parameters are also well described under some conditions by the method of stability switching curves. Finally, some numerical examples are presented to further deepen the understanding of the obtained results.</div></div>\",\"PeriodicalId\":49745,\"journal\":{\"name\":\"Nonlinear Analysis-Real World Applications\",\"volume\":\"85 \",\"pages\":\"Article 104345\"},\"PeriodicalIF\":1.8000,\"publicationDate\":\"2025-03-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Nonlinear Analysis-Real World Applications\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S1468121825000318\",\"RegionNum\":3,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Nonlinear Analysis-Real World Applications","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S1468121825000318","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}

引用次数: 0

摘要

研究了具有Beddington-Deangelis功能响应和两个时滞的年龄结构捕食者-猎物模型的渐近行为。该模型首先被表述为一个抽象的非密集定义柯西问题，并在一定条件下得到了平衡点的存在性。然后，通过确定特征值的分布，成功地建立了边界平衡点的全局渐近稳定性。在一定条件下，用稳定性切换曲线的方法很好地描述了两个参数的Hopf分岔结果。最后，通过数值算例进一步加深对所得结果的理解。

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

Asymptotic analysis for an age-structured predator–prey model with Beddington–Deangelis functional response

This paper focuses on the asymptotic behavior of an age-structured predator–prey model with Beddington–Deangelis functional response and two delays. The model is first formulated as an abstract non-densely defined Cauchy problem and the existence of the equilibria is obtained under some conditions. Then, the global asymptotic stability of the boundary equilibrium is successfully established by determining the distribution of eigenvalues. Hopf bifurcation results with two parameters are also well described under some conditions by the method of stability switching curves. Finally, some numerical examples are presented to further deepen the understanding of the obtained results.

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

Nonlinear Analysis-Real World Applications 数学-应用数学

CiteScore

3.80

自引率

5.00%

发文量

176

审稿时长

59 days

期刊介绍： Nonlinear Analysis: Real World Applications welcomes all research articles of the highest quality with special emphasis on applying techniques of nonlinear analysis to model and to treat nonlinear phenomena with which nature confronts us. Coverage of applications includes any branch of science and technology such as solid and fluid mechanics, material science, mathematical biology and chemistry, control theory, and inverse problems. The aim of Nonlinear Analysis: Real World Applications is to publish articles which are predominantly devoted to employing methods and techniques from analysis, including partial differential equations, functional analysis, dynamical systems and evolution equations, calculus of variations, and bifurcations theory.