## Abstract We study the stability of a delay susceptible–infective–recovered epidemic model with time delay. The model is formulated under the assumption that all individuals are susceptible, and we analyse the global stability __via__ two methods—by Lyapunov functionals, and—in terms of the varia
Erratum: ‘Global behaviour of an SIR epidemic model with time delay’
✍ Scribed by Jean M. Tchuenche; Alexander Nwagwo; Richard Levins
- Publisher
- John Wiley and Sons
- Year
- 2010
- Tongue
- English
- Weight
- 56 KB
- Volume
- 34
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.1384
No coin nor oath required. For personal study only.
✦ Synopsis
In [1], there was a typographical error in the entries of the off-diagonal elements of the matrix A(t), starting on the line before Equation ( 15). The purpose of this current note is to correct this mistake and propose a direction for future work. Choose W 1 , W 2 > 0 such that W 2 = W 1 e -h I * , and rewriting this equation with some little rearrangement, V(U(t)) now reads
📜 SIMILAR VOLUMES
## Abstract We describe an SIR epidemic model with a discrete time lag, analyse the local stability of its equilibria as well as the effects of delay on the reproduction number and on the dynamical behaviour of the system. The model has two equilibria—a necessary condition for local asymptotic stab
The global stability of a discrete population model of Volterra type is studied. The model incorporates time delays and allows for a fluctuating environment. By linearization of the model at positive solutions and construction of Liapunov functionals, sufficient conditions are obtained to ensure a p