In this paper the convergence behavior of an epidemic model with time-varying delays are considered. Some sufficient conditions are established to ensure that all solutions of the epidemic model with permitted initial conditions converge exponentially to zero, which are new and complement previously
Global exponential convergence of an epidemic model with time-varying delays
โ Scribed by Xuejun Yi; Shuhua Gong; Lijuan Wang
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 216 KB
- Volume
- 12
- Category
- Article
- ISSN
- 1468-1218
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๐ SIMILAR VOLUMES
## 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
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 \*
In this work the convergence behaviors of delayed cellular neural networks with time-varying coefficients are considered. Some sufficient conditions are established to ensure that all solutions for the networks converge exponentially to the zero point, which are new, and complement previously known