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

Research output: Contribution to journal › Article › peer-review

13 Scopus citations

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.

Original language	English
Pages (from-to)	35-39
Number of pages	5
Journal	Communications in Nonlinear Science and Numerical Simulation
Volume	6
Issue number	1
DOIs	https://doi.org/10.1016/S1007-5704(01)90026-7
State	Published - 2001
Externally published	Yes

Keywords

Delay
Globally asymptotically stable
SIS epidemic model
Threshold

Access to Document

10.1016/S1007-5704(01)90026-7

Cite this

@article{1f32328071cc4f0b893178908de34829,

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",

volume = "6",

pages = "35--39",

journal = "Communications in Nonlinear Science and Numerical Simulation",

issn = "1007-5704",

publisher = "Elsevier B.V.",

number = "1",

}

TY - JOUR

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

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this