《Permanence of an SIR epidemic model with density dependent birth rate and distributed time delay》.pdf
- 1、本文档共12页,可阅读全部内容。
- 2、原创力文档(book118)网站文档一经付费(服务费),不意味着购买了该文档的版权,仅供个人/单位学习、研究之用,不得用于商业用途,未经授权,严禁复制、发行、汇编、翻译或者网络传播等,侵权必究。
- 3、本站所有内容均由合作方或网友上传,本站不对文档的完整性、权威性及其观点立场正确性做任何保证或承诺!文档内容仅供研究参考,付费前请自行鉴别。如您付费,意味着您自己接受本站规则且自行承担风险,本站不退款、不进行额外附加服务;查看《如何避免下载的几个坑》。如果您已付费下载过本站文档,您可以点击 这里二次下载。
- 4、如文档侵犯商业秘密、侵犯著作权、侵犯人身权等,请点击“版权申诉”(推荐),也可以打举报电话:400-050-0827(电话支持时间:9:00-18:30)。
查看更多
《Permanence of an SIR epidemic model with density dependent birth rate and distributed time delay》.pdf
Applied Mathematics and Computation 218 (2011) 1682–1693
Contents lists available at ScienceDirect
Applied Mathematics and Computation
journal homepage: /locate/amc
Permanence of an SIR epidemic model with density dependent birth
rate and distributed time delay
Chun-Hsien Li a, Chiung-Chiou Tsai b, Suh-Yuh Yang a,⇑
a Department of Mathematics, National Central University, Jhongli City, Taoyuan County 32001, Taiwan
b Department of Computer Science and Information Engineering, Nanya Institute of Technology, Jhongli City, Taoyuan County 32091, Taiwan
a r t i c l e i n f o a b s t r a c t
Keywords: In this paper, we investigate the permanence of an SIR epidemic model with a density-
SIR epidemic model dependent birth rate and a distributed time delay. We first consider the attractivity of
Time delay the disease-free equilibrium and then show that for any time delay, the delayed SIR epi-
Asymptotic stability demic model is permanent if and only if an endemic equilibrium exists. Numerical exam-
Permanence
ples are given to illustrate the theoretical analysis. The results obtained are also compared
with those from the analog system with a discrete time delay.
2011 Elsevier Inc. All rights reserved.
1. Introduction and preliminaries
In modeling the spread process of infectious diseases, many classical epidemic models have been proposed and studied,
such as SIR, SEIR and SIRS m
您可能关注的文档
- 《Nitrogen in Silicon》.pdf
- 《Nokia手机本身自带wifi及voip网络电话设置》.doc
- 《Non-Linear Least-Squares Reverse-Time Migration》.pdf
- 《Non-linear vibrations of viscoelastic moving belts part II forced vibration analysis》.pdf
- 《Non-Tariff Barriers to Trade》.docx
- 《nonlinear vibration characteristics of a flexible blade with friction damping due to tip-rub》.pdf
- 《Nonlinear Vibration-2》.pdf
- 《Nonlinear vibration_1》.pdf
- 《NONPARAMETRIC ESTIMATORS FOR TIME SERIES》.pdf
- 《Nord-Translation as a purposeful activity-Nord》.pdf
- 山东省临沂市沂水县2023-2024学年高一下学期期中考试历史试题.docx
- 江苏省泰州市靖江高级中学2023-2024学年高二下学期4月期中考试物理试题(无答案).docx
- 新疆部分名校2023-2024学年高二下学期期中联合考试语文试题.docx
- 湖南省岳阳市岳阳县第一中学2023-2024学年高三下学期4月期中考试数学试题.docx
- 山东省烟台市2023-2024学年高二下学期4月期中生物试题(无答案).docx
- 江苏省靖江高级中学2023-2024学年高二下学期期中地理试题(无答案).docx
- 四川省甘孜藏族自治州某重点中学2023-2024学年高一下学期4月期中考试物理试题.docx
- 湖北省武汉市华中师范大学第一附属中学2023-2024学年高二下学期4月期中英语试题(无答案).docx
- 四川省成都市金牛区成都市实验外国语学校2024年高三三模考试生物试题.docx
- 浙江省宁波市北仑中学2023-2024学年高二下学期期中考试物理试题.docx
1亿VIP精品文档
相关文档
最近下载
- 2023年福建省南平市政和县中考一模英语试题(含听力)和试题答案详解.pdf
- 城市地下管网建设项目背景与意义分析报告.docx
- 特发性肺动脉高压患者护理查房ppt课件.pptx
- 2024年二级建造师二建施工管理考点重点知识总结随身记忆学霸笔记.pdf
- 初中语文2024届中考复习课外古诗文阅读练习(共六组)(附参考答案).doc
- 毕业设计----矿体采矿方法设计.doc
- 基于Pyrosim与Pathfinder的教学楼火灾疏散模拟.docx
- 54221-软件质量保证与测试(慕课版)-作业册、习题答案.pdf.docx
- 部编版小学语文四年级下册《绿》群文阅读课(教学课件).pptx
- 停车场初步设计说明.pdf
文档评论(0)