无界域上扩散年龄结构模型的阈值动力学：依赖年龄的死亡和扩散率

IF 1.2 4区数学 Q2 MATHEMATICS, APPLIED

Acta Applicandae Mathematicae Pub Date : 2024-03-28 DOI:10.1007/s10440-024-00643-4

Mohammadkheer AlJararha

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引用次数: 0

摘要

摘要建立了典型的年龄结构模型的全局动力学，该模型的死亡率和扩散率与年龄有关，且在无界域上。一方面，我们证明了成熟种群的正定态解相对于紧凑开拓扑是全局渐近稳定的；另一方面，我们证明了三元解相对于通常的至高规范是全局渐近稳定的。我们将这一结果应用于生物学中出现的出生函数。除了理论结果，我们还进行了数值模拟。

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Threshold Dynamics for Diffusive Age-Structured Model over Unbounded Domains: Age-Dependent Death and Diffusion Rates

The global dynamics of the typical age-structured model with age-dependent mortality and diffusion rates on unbounded domains have been established. On the one hand, we showed that a positive and constant state solution of the mature population is globally asymptotically stable with respect to the compact-open topology; on the other hand, we showed that the trivial solution is globally asymptotically stable with respect to the usual supremum norm. As an application of our result, we applied the result to birth functions appearing in biology. In addition to the theoretical results, we also present a numerical simulation.

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来源期刊

Acta Applicandae Mathematicae 数学-应用数学

CiteScore

2.80

自引率

6.20%

发文量

审稿时长

16.2 months

期刊介绍： Acta Applicandae Mathematicae is devoted to the art and techniques of applying mathematics and the development of new, applicable mathematical methods. Covering a large spectrum from modeling to qualitative analysis and computational methods, Acta Applicandae Mathematicae contains papers on different aspects of the relationship between theory and applications, ranging from descriptive papers on actual applications meeting contemporary mathematical standards to proofs of new and deep theorems in applied mathematics.