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Global stability of an SIS epidemic model with delays.
- Source :
- Mathematical Methods in the Applied Sciences; 9/15/2018, Vol. 41 Issue 13, p5345-5354, 10p
- Publication Year :
- 2018
-
Abstract
- In this paper, we consider the global dynamics of the S(E)IS model with delays denoting an incubation time. By constructing a Lyapunov functional, we prove stability of a disease‐free equilibrium E<subscript>0</subscript> under a condition different from that in the recent paper. Then we claim that R<subscript>0</subscript>≤1 is a necessary and sufficient condition under which E<subscript>0</subscript> is globally asymptotically stable. We also propose a discrete model preserving positivity and global stability of the same equilibria as the continuous model with distributed delays, by means of discrete analogs of the Lyapunov functional. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 01704214
- Volume :
- 41
- Issue :
- 13
- Database :
- Complementary Index
- Journal :
- Mathematical Methods in the Applied Sciences
- Publication Type :
- Academic Journal
- Accession number :
- 130749857
- Full Text :
- https://doi.org/10.1002/mma.5084