Dynamics of an age-structured SIS epidemic model with local dispersal and general incidence functions

IF 3.4 2区数学 Q1 MATHEMATICS, APPLIED

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2024-09-24 DOI:10.1016/j.cnsns.2024.108364

Dandan Sun, Wan-Tong Li, Ming-Zhen Xin

引用次数: 0

Abstract

In this paper, an age-structured SIS epidemic model with local dispersal and general incidence functions is formulated. We first analytically derive the well-posedness of solutions, the basic reproduction number

R_{0}

and the existence of steady states. Then, we show that the disease-free steady state is global asymptotically stable if

R_{0} \leq 1

and disease in the model is uniformly persistent if

R_{0} > 1

. Moreover, we show global asymptotic stability of the endemic steady state under some cases. Finally, infection age, media coverage and spatial diffusion on the epidemic of infectious diseases are demonstrated by numerical simulations.

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具有局部扩散和一般发病率函数的年龄结构 SIS 流行病模型的动态变化

本文提出了一个具有局部扩散和一般发生函数的年龄结构 SIS 流行病模型。我们首先通过分析推导出了解的拟合优度、基本繁殖数 R0 和稳态的存在性。然后，我们证明了如果 R0≤1 则无疾病稳态是全局渐进稳定的，如果 R0>1 则模型中的疾病是均匀持久的。最后，我们通过数值模拟证明了感染年龄、媒体覆盖率和空间扩散对传染病流行的影响。

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

Communications in Nonlinear Science and Numerical Simulation MATHEMATICS, APPLIED-MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

CiteScore

6.80

自引率

7.70%

发文量

378

审稿时长

78 days

期刊介绍： The journal publishes original research findings on experimental observation, mathematical modeling, theoretical analysis and numerical simulation, for more accurate description, better prediction or novel application, of nonlinear phenomena in science and engineering. It offers a venue for researchers to make rapid exchange of ideas and techniques in nonlinear science and complexity. The submission of manuscripts with cross-disciplinary approaches in nonlinear science and complexity is particularly encouraged. Topics of interest: Nonlinear differential or delay equations, Lie group analysis and asymptotic methods, Discontinuous systems, Fractals, Fractional calculus and dynamics, Nonlinear effects in quantum mechanics, Nonlinear stochastic processes, Experimental nonlinear science, Time-series and signal analysis, Computational methods and simulations in nonlinear science and engineering, Control of dynamical systems, Synchronization, Lyapunov analysis, High-dimensional chaos and turbulence, Chaos in Hamiltonian systems, Integrable systems and solitons, Collective behavior in many-body systems, Biological physics and networks, Nonlinear mechanical systems, Complex systems and complexity. No length limitation for contributions is set, but only concisely written manuscripts are published. Brief papers are published on the basis of Rapid Communications. Discussions of previously published papers are welcome.