由 Black-Karasinski 过程驱动的随机吸烟流行病模型的全局动力学

IF 2.9 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics Letters Pub Date : 2024-09-28 DOI:10.1016/j.aml.2024.109324

Bingtao Han, Daqing Jiang

{"title":"由 Black-Karasinski 过程驱动的随机吸烟流行病模型的全局动力学","authors":"Bingtao Han, Daqing Jiang","doi":"10.1016/j.aml.2024.109324","DOIUrl":null,"url":null,"abstract":"<div><div>In this paper, we develop a stochastic smoking epidemic model, where Black-Karasinski process is for the first time introduced to describe the environmental fluctuations in smoking transmission. By constructing suitable Lyapunov functions and compact sets, we establish sufficient conditions for the exponential extinction of smoking populations and the existence of a stationary distribution (i.e., a reflection of smoking persistence). Our results show that stochastic noise will be conducive to smoking pandemic.</div></div>","PeriodicalId":55497,"journal":{"name":"Applied Mathematics Letters","volume":"160 ","pages":"Article 109324"},"PeriodicalIF":2.9000,"publicationDate":"2024-09-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Global dynamics of a stochastic smoking epidemic model driven by Black-Karasinski process\",\"authors\":\"Bingtao Han, Daqing Jiang\",\"doi\":\"10.1016/j.aml.2024.109324\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>In this paper, we develop a stochastic smoking epidemic model, where Black-Karasinski process is for the first time introduced to describe the environmental fluctuations in smoking transmission. By constructing suitable Lyapunov functions and compact sets, we establish sufficient conditions for the exponential extinction of smoking populations and the existence of a stationary distribution (i.e., a reflection of smoking persistence). Our results show that stochastic noise will be conducive to smoking pandemic.</div></div>\",\"PeriodicalId\":55497,\"journal\":{\"name\":\"Applied Mathematics Letters\",\"volume\":\"160 \",\"pages\":\"Article 109324\"},\"PeriodicalIF\":2.9000,\"publicationDate\":\"2024-09-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Applied Mathematics Letters\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0893965924003446\",\"RegionNum\":2,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Applied Mathematics Letters","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0893965924003446","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}

引用次数: 0

摘要

本文建立了一个随机吸烟流行模型，首次引入 Black-Karasinski 过程来描述吸烟传播的环境波动。通过构建合适的 Lyapunov 函数和紧凑集，我们建立了吸烟种群指数消亡和静态分布（即吸烟持续性的反映）存在的充分条件。我们的结果表明，随机噪声将有利于吸烟的大流行。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Global dynamics of a stochastic smoking epidemic model driven by Black-Karasinski process

In this paper, we develop a stochastic smoking epidemic model, where Black-Karasinski process is for the first time introduced to describe the environmental fluctuations in smoking transmission. By constructing suitable Lyapunov functions and compact sets, we establish sufficient conditions for the exponential extinction of smoking populations and the existence of a stationary distribution (i.e., a reflection of smoking persistence). Our results show that stochastic noise will be conducive to smoking pandemic.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

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.