Stability of a Vector-Borne Disease Model with a Delayed Nonlinear Incidence

IF 1.2 4区数学 Q2 MATHEMATICS, APPLIED

Acta Applicandae Mathematicae Pub Date : 2023-11-14 DOI:10.1007/s10440-023-00623-0

Ali Traoré

引用次数: 0

Abstract

A vector-borne disease model with spatial diffusion with time delays and a general incidence function is studied. We derived conditions under which the system exhibits threshold behavior. The stability of the disease-free equilibrium and the endemic equilibrium are analyzed by using the linearization method and constructing appropriate Lyapunov functionals. It is shown that the given conditions are satisfied by at least two common forms of the incidence function.

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一类具有时滞非线性发病率的病媒传播疾病模型的稳定性

研究了一种具有时滞和一般发病率函数的媒介传播疾病空间扩散模型。我们推导出系统表现出阈值行为的条件。采用线性化方法，构造适当的Lyapunov泛函，分析了无病平衡点和地方病平衡点的稳定性。证明了至少有两种常见形式的关联函数满足给定的条件。

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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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.