Global attractivity and permanence of a SVEIR epidemic model with pulse vaccination and time delay |
| |
Authors: | Huiming Wei Yu Jiang Xinyu Song GH Su SZ Qiu |
| |
Institution: | 1. State Key Laboratory of Multiphase Flow in Power Engineering, Xi’an Jiaotong University, Xi’an 710049, China;2. Department of Mathematics, XinYang Normal University, Xinyang 464000, Henan, China |
| |
Abstract: | In this study, we propose a new SVEIR epidemic disease model with time delay, and analyze the dynamic behavior of the model under pulse vaccination. Pulse vaccination is an effective strategy for the elimination of infectious disease. Using the discrete dynamical system determined by the stroboscopic map, we obtain an ‘infection-free’ periodic solution. We also show that the ‘infection-free’ periodic solution is globally attractive when some parameters of the model under appropriate conditions. The permanence of the model is investigated analytically. Our results indicate that a large vaccination rate or a short pulse of vaccination or a long latent period is a sufficient condition for the extinction of the disease. |
| |
Keywords: | 34D23 92D30 |
本文献已被 ScienceDirect 等数据库收录! |
|