# Advances in Analysis

### Pulse Vaccination Strategy in an SIVS Epidemic Model with General Nonlinear Incidence Rate

Download PDF (262.7 KB) PP. 80 - 88 Pub. Date: October 25, 2016

### Author(s)

**Dan Yu**

Key Laboratory of Jiangxi Province for Numerical Simulation and Emulation Techniques, Gannan Normal University, Ganzhou 341000, China**Shujing Gao**^{*}

Key Laboratory of Jiangxi Province for Numerical Simulation and Emulation Techniques, Gannan Normal University, Ganzhou 341000, China**Youquan Luo**

Key Laboratory of Jiangxi Province for Numerical Simulation and Emulation Techniques, Gannan Normal University, Ganzhou 341000, China**Feiping Xie**

Key Laboratory of Jiangxi Province for Numerical Simulation and Emulation Techniques, Gannan Normal University, Ganzhou 341000, China

### Abstract

*SIV S*including impulsive vaccination strategy and general incidence is proposed and analyzed. By applying the comparison theorem, scaling method techniques for inequalities and stroboscopic map, the sufficient conditions which guarantee the globally attractive of the disease-free periodic solution and the permanence of the disease are established, that is, the disease dies out if

*R*< 1, whereas the disease persists if

_{1}*R*> 1.

_{2}### Keywords

*SIV S*epidemic model; pulse control; general nonlinear incidence rate.

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