具有标准发病率和反应扩散的随机SVI流行病模型的持续和消

IF 2.9 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics Letters Pub Date : 2025-04-24 DOI:10.1016/j.aml.2025.109579

Tan Su, Yonggui Kao, Daqing Jiang

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引用次数: 0

摘要

考虑到种群扩散和疫苗无效对疾病传播的重要影响，本文主要研究了反应扩散的随机SVI（易感-接种-感染）流行病模型。通过一种创新的变量变换，证明了唯一全局正强解的存在性。通过适当的Lyapunov函数建立了疾病持续和指数灭绝的充分条件。

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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Persistence and extinction of a stochastic SVI epidemic model with standard incidence and reaction–diffusion

Considering the important effects of population diffusion and vaccine ineffectiveness on disease transmission, a stochastic SVI (Susceptible–Vaccinated–Infected) epidemic model with reaction–diffusion is mainly investigated in this paper. We prove the existence of the unique global positive strong solution by an innovative variable transformation. The sufficient conditions for disease persistence and exponential extinction are also established by suitable Lyapunov functions.

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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.