| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 837517 | Nonlinear Analysis: Real World Applications | 2012 | 9 Pages |
Abstract
An SIR epidemic model with state dependent pulse vaccination is proposed in this paper. Using the Poincaré map, the differential inequality and the method of qualitative analysis, we prove the existence and the stability of positive order-1 or order-2 periodic solution for this model. Moreover, we show that there is no periodic solution with order larger than or equal to three. Numerical simulations are carried out to illustrate the feasibility of our main results and the suitability of state dependent pulse vaccination is also discussed.
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Authors
Linfei Nie, Zhidong Teng, Angela Torres,