Abstract
In this paper we study an epidemic model with nonmonotonic incidence rate, which describes the psychological effect of certain serious diseases on the community when the number of infectives is getting larger. By carrying out a global analysis of the model and studying the stability of the disease-free equilibrium and the endemic equilibrium, we show that either the number of infective individuals tends to zero as time evolves or the disease persists.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 419-429 |
| Number of pages | 11 |
| Journal | Mathematical Biosciences |
| Volume | 208 |
| Issue number | 2 |
| DOIs | |
| State | Published - Aug 2007 |
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Keywords
- Epidemic
- Global stability
- Nonlinear incidence
- Psychological effect
ASJC Scopus subject areas
- Agricultural and Biological Sciences(all)
- Ecology, Evolution, Behavior and Systematics
Cite this
Global analysis of an epidemic model with nonmonotone incidence rate. / Xiao, Dongmei; Ruan, Shigui.
In: Mathematical Biosciences, Vol. 208, No. 2, 08.2007, p. 419-429.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Global analysis of an epidemic model with nonmonotone incidence rate
AU - Xiao, Dongmei
AU - Ruan, Shigui
PY - 2007/8
Y1 - 2007/8
N2 - In this paper we study an epidemic model with nonmonotonic incidence rate, which describes the psychological effect of certain serious diseases on the community when the number of infectives is getting larger. By carrying out a global analysis of the model and studying the stability of the disease-free equilibrium and the endemic equilibrium, we show that either the number of infective individuals tends to zero as time evolves or the disease persists.
AB - In this paper we study an epidemic model with nonmonotonic incidence rate, which describes the psychological effect of certain serious diseases on the community when the number of infectives is getting larger. By carrying out a global analysis of the model and studying the stability of the disease-free equilibrium and the endemic equilibrium, we show that either the number of infective individuals tends to zero as time evolves or the disease persists.
KW - Epidemic
KW - Global stability
KW - Nonlinear incidence
KW - Psychological effect
UR - http://www.scopus.com/inward/record.url?scp=34547134261&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=34547134261&partnerID=8YFLogxK
U2 - 10.1016/j.mbs.2006.09.025
DO - 10.1016/j.mbs.2006.09.025
M3 - Article
C2 - 17303186
AN - SCOPUS:34547134261
VL - 208
SP - 419
EP - 429
JO - Mathematical Biosciences
JF - Mathematical Biosciences
SN - 0025-5564
IS - 2
ER -