Asymptotic behavior of an age-structured SIS model with nonlinear force of infection

IF 1.2 3区数学 Q1 MATHEMATICS

Journal of Mathematical Analysis and Applications Pub Date : 2025-07-04 DOI:10.1016/j.jmaa.2025.129858

Soumak Nag, Suman Kumar Tumuluri

引用次数: 0

Abstract

A nonlocal nonlinear SIS epidemic model with diffusion in space having restriction of movement of individual across the boundary of the region is considered. Existence and uniqueness of the steady state has been studied using spectral analysis and monotonicity of nonlinear operator, respectively. Sufficient conditions are given for local stability of the zero steady state. Moreover, global stability of the nonzero steady state is also discussed.

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具有非线性感染力的年龄结构SIS模型的渐近行为

研究了一类具有空间扩散的非局部非线性SIS流行病模型，该模型具有个体跨越区域边界的运动限制。利用谱分析和非线性算子单调性分别研究了系统稳态的存在唯一性。给出了零稳态局部稳定的充分条件。此外，还讨论了非零稳态的全局稳定性。

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

Journal of Mathematical Analysis and Applications 数学-数学

CiteScore

2.50

自引率

7.70%

发文量

790

审稿时长

6 months

期刊介绍： The Journal of Mathematical Analysis and Applications presents papers that treat mathematical analysis and its numerous applications. The journal emphasizes articles devoted to the mathematical treatment of questions arising in physics, chemistry, biology, and engineering, particularly those that stress analytical aspects and novel problems and their solutions. Papers are sought which employ one or more of the following areas of classical analysis: • Analytic number theory • Functional analysis and operator theory • Real and harmonic analysis • Complex analysis • Numerical analysis • Applied mathematics • Partial differential equations • Dynamical systems • Control and Optimization • Probability • Mathematical biology • Combinatorics • Mathematical physics.