Permanence of a delayed SIR epidemic model with density dependent birth rate |
| |
Authors: | Mei Song Wanbiao Ma Yasuhiro Takeuchi |
| |
Institution: | 1. Department of Mathematics and Mechanics, School of Applied Science, University of Science and Technology Beijing, Beijing 100083, China;2. Department of Systems Engineering, Faculty of Engineering, Shizuoka University, Hamamatsu 432-8561, Japan |
| |
Abstract: | In this paper, we consider the permanence of a modified delayed SIR epidemic model with density dependent birth rate which is proposed in M. Song, W. Ma, Asymptotic properties of a revised SIR epidemic model with density dependent birth rate and time delay, Dynamic of Continuous, Discrete and Impulsive Systems, 13 (2006) 199–208]. It is shown that global dynamic property of the modified delayed SIR epidemic model is very similar as that of the model in W. Ma, Y. Takeuchi, T. Hara, E. Beretta, Permanence of an SIR epidemic model with distributed time delays, Tohoku Math. J. 54 (2002) 581–591; W. Ma, M. Song, Y. Takeuchi, Global stability of an SIR epidemic model with time delay, Appl. Math. Lett. 17 (2004) 1141–1145]. |
| |
Keywords: | 34K25 92B05 |
本文献已被 ScienceDirect 等数据库收录! |
|