GLOBAL STABILITY OF AN S-I EPIDEMIC MODEL WITH MATURATION DELAY

Authors
MUKHERJEE D
Citation
D. Mukherjee, GLOBAL STABILITY OF AN S-I EPIDEMIC MODEL WITH MATURATION DELAY, Cybernetica, 40(3), 1997, pp. 179-188
Citations number
5
Categorie Soggetti
Ergonomics,"Computer Science Cybernetics","Computer Science Cybernetics
Journal title
Cybernetica → ACNP
ISSN journal
00114227
Volume
40
Issue
3
Year of publication
1997
Pages
179 - 188
Database
ISI
SICI code
0011-4227(1997)40:3<179:GSOASE>2.0.ZU;2-2
Abstract
This article concentrates on the study of stability of an S-l epidemic model with maturation delays. Using the Nyquist criterion on the char acteristic equation, an estimate on the length of delay is given for w hich a system which is stable in the absence of delays remains stable. Conditions are derived for which there are no change in stability. Su fficient conditions for global stability of endemic equilibrium have b een obtained by the construction of a suitable Lyapunov functional.