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Analysis of a saturation incidence SVEIRS epidemic model with pulse and two time delays |
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| Authors: | Xinyu Song Yu Jiang |
| Affiliation: | a Department of Mathematics, Xinyang Normal University, Xinyang 464000, Henan, PR China b School of Science, Xi’an Jiaotong University, Xi’an 710049, PR China c State Key Laboratory of Multiphase Flow in Power Engineering, Xi’an Jiaotong University, Xi’an 710049, China |
| Abstract: | In this paper, we study a new SVEIRS infectious disease model with pulse and two time delays. The pulse vaccination strategy is used as an effective strategy for the elimination of infectious disease. The model consists of a set of integro-differential equations. The existence and global attractivity of ‘infection-free’ periodic solution, permanence of an endemic model are investigated. |
| Keywords: | Epidemic model Saturation incidence Time delay Pulse vaccination Permanence Globally attractive |
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