具有饱和发病率的退化扩散潜伏期宿主-病原体模型的阈值动力学

IF 2.9 2区数学 Q1 MATHEMATICS, APPLIED Applied Mathematics Letters Pub Date : 2024-09-16 DOI:10.1016/j.aml.2024.109312

Wenjie Li , Liuan Yang , Jinde Cao

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引用次数: 0

摘要

本文考虑了一个具有退化扩散的潜伏期宿主-病原体系统。利用κ-收缩法研究了该模型解的全局紧凑吸引子。此外，我们还定义了基本繁殖数，并讨论了退化扩散模型的动态分析。所获得的理论结果并不复杂，可以认为是 Wang 等人 2022 年工作的延续。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Threshold dynamics of a degenerated diffusive incubation period host–pathogen model with saturation incidence rate

In this paper, we consider an incubation period host–pathogen system with degenerated diffusion. The global compact attractor of the solution of the model is investigated using the $κ$ -contraction method. Furthermore, the basic reproduction number is defined, and we discuss the dynamic analysis of a degenerated diffusion model. The obtained theoretical results are nontrivial and can be considered a continuation of the work by Wang et al. in 2022.

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来源期刊

Applied Mathematics Letters 数学-应用数学

CiteScore

7.70

自引率

5.40%

发文量

347

审稿时长

10 days

期刊介绍： The purpose of Applied Mathematics Letters is to provide a means of rapid publication for important but brief applied mathematical papers. The brief descriptions of any work involving a novel application or utilization of mathematics, or a development in the methodology of applied mathematics is a potential contribution for this journal. This journal''s focus is on applied mathematics topics based on differential equations and linear algebra. Priority will be given to submissions that are likely to appeal to a wide audience.