## Abstract We study the stability of a delay susceptibleโinfectiveโrecovered 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 methodsโby Lyapunov functionals, andโin terms of the varia
Global asymptotic stability of an SIR epidemic model with distributed time delay
โ Scribed by Edoardo Beretta; Tadayuki Hara; Wanbiao Ma; Yasuhiro Takeuchi
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 340 KB
- Volume
- 47
- Category
- Article
- ISSN
- 0362-546X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
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 \*
## 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 equilibriaโa necessary condition for local asymptotic stab
Th$ is a etudy of dypamic behavior of an SEIRS epidemic model with time delays. It is shown that disease-free equilibrium is globally stable if the reproduction number ls'not greater than one. when the reproduction number ls greater than 1, it is prov& th$ thd dll le uniformly persistent in the popu