Analysis of a SIS epidemic model with stage structure and a delay

Yanni Xiao; Lansun Chen

doi:10.1016/S1007-5704(01)90026-7

Analysis of a SIS epidemic model with stage structure and a delay

Yanni Xiao
, Lansun Chen

CAS - Academy of Mathematics and System Sciences

科研成果: 期刊稿件 › 文章 › 同行评审

14 引用（Scopus）

摘要

A disease transmission model of SIS type with stage structure and a delay corresponding to the infectious period is formulated. By constructing the difference operator and using global convergence theorem, we show that the disease-free equilibrium is globally asymptotically stable. The stability of an endemic equilibrium are investigated for the differential-difference equations.

源语言	英语
页（从-至）	35-39
页数	5
期刊	Communications in Nonlinear Science and Numerical Simulation
卷	6
期	1
DOI	https://doi.org/10.1016/S1007-5704(01)90026-7
出版状态	已出版 - 2001
已对外发布	是

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title = "Analysis of a SIS epidemic model with stage structure and a delay",

abstract = "A disease transmission model of SIS type with stage structure and a delay corresponding to the infectious period is formulated. By constructing the difference operator and using global convergence theorem, we show that the disease-free equilibrium is globally asymptotically stable. The stability of an endemic equilibrium are investigated for the differential-difference equations.",

keywords = "Delay, Globally asymptotically stable, SIS epidemic model, Threshold",

author = "Yanni Xiao and Lansun Chen",

year = "2001",

doi = "10.1016/S1007-5704(01)90026-7",

language = "英语",

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T1 - Analysis of a SIS epidemic model with stage structure and a delay

AU - Xiao, Yanni

AU - Chen, Lansun

PY - 2001

Y1 - 2001

N2 - A disease transmission model of SIS type with stage structure and a delay corresponding to the infectious period is formulated. By constructing the difference operator and using global convergence theorem, we show that the disease-free equilibrium is globally asymptotically stable. The stability of an endemic equilibrium are investigated for the differential-difference equations.

AB - A disease transmission model of SIS type with stage structure and a delay corresponding to the infectious period is formulated. By constructing the difference operator and using global convergence theorem, we show that the disease-free equilibrium is globally asymptotically stable. The stability of an endemic equilibrium are investigated for the differential-difference equations.

KW - Delay

KW - Globally asymptotically stable

KW - SIS epidemic model

KW - Threshold

UR - https://www.scopus.com/pages/publications/16844376279

U2 - 10.1016/S1007-5704(01)90026-7

DO - 10.1016/S1007-5704(01)90026-7

M3 - 文章

AN - SCOPUS:16844376279

SN - 1007-5704

VL - 6

SP - 35

EP - 39

JO - Communications in Nonlinear Science and Numerical Simulation

JF - Communications in Nonlinear Science and Numerical Simulation

IS - 1

ER -

Analysis of a SIS epidemic model with stage structure and a delay

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