Global attractivity and permanence of a delayed SVEIR epidemic model with pulse vaccination and saturation incidence |
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Authors: | Yu Jiang Liquan Mei Guanghui Su |
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Affiliation: | a School of Science, Xi’an Jiaotong University, Xi’an 710049, PR China b State Key Laboratory of Multiphase Flow in Power Engineering, Xi’an Jiaotong University, Xi’an 710049, China c Department of Mathematics, XinYang Normal University, Xin Yang, Henan 464000, China |
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Abstract: | In this study, we formulate and analyze a new SVEIR epidemic disease model with time delay and saturation incidence, and analyze the dynamic behavior of the model under pulse vaccination. Using the discrete dynamical system determined by the stroboscopic map, we obtain an ‘infection-free’ periodic solution, further, show that the ‘infection-free’ periodic solution is globally attractive for some parameters of the model under appropriate conditions. The permanence of the model is investigated analytically. By computer simulation it is concluded that a large vaccination rate or a short pulse of vaccination or a long latent period are each a sufficient condition for the extinction of the disease. |
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Keywords: | Epidemic model Time delay Pulse vaccination Permanence Globally attractive |
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