|本期目录/Table of Contents|

[1]黄幼林,魏春金,张树文.空气污染物随机扩散的SIS模型动力学[J].集美大学学报(自然科学版),2023,28(6):561-567.
　HUANG Youlin,WEI Chunjin,ZHANG Shuwen.Dynamics of SIS Models with Random Diffusion of Air Pollutants[J].Journal of Jimei University,2023,28(6):561-567.
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空气污染物随机扩散的SIS模型动力学(PDF)
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《集美大学学报（自然科学版）》[ISSN:1007-7405/CN:35-1186/N]

卷:
第28卷
期数:
2023年第6期
页码:
561-567
栏目:
数理科学与信息工程
出版日期:
2023-11-28

文章信息/Info

Title:
Dynamics of SIS Models with Random Diffusion of Air Pollutants
作者:
黄幼林; 魏春金; 张树文
集美大学理学院,福建 厦门 361021
Author(s):
HUANG Youlin; WEI Chunjin; ZHANG Shuwen
School of Science,Jimei University,Xiamen 361021,China
关键词:
空气污染; 呼吸系统疾病; 随机SIS模型; 噪声强度
Keywords:
air pollution; respiratory diseases; stochastic SIS model; noise intensity
分类号:
-
DOI:
-
文献标志码:
A
摘要:
研究一类具有非线性传染率与空气污染物随机扩散的随机SIS模型的动力学。假设疾病传播系数是关于空气质量指数的函数,根据随机过程的统计性质,导出了感染者I(t)满足的一维随机微分方程模型。证明该随机微分方程模型正解的存在唯一性，得到该疾病灭绝的充分条件与一些性质。最后通过数值模拟验证该结论。
Abstract:
: In this paper,the dynamics of a stochastic SIS model with nonlinear infection rate and random diffusion of air pollutants were studied.The disease transmission coefficient was a function of the air quality index in this model.A one-dimensional stochastic differential equation(SDE) model about infected individuals I (t) was derived according to the statistical properties of stochastic process.Firstly,the existence and uniqueness of positive solutions of SDE model were proved.Then the sufficient conditions for the extinction of the disease and some properties were obtained.Finally,the results were verified by numerical simulation.

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更新日期/Last Update: 2024-02-29