Isaac Scientific Publishing

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

DOI: 10.22606/aan.2016.12003

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

In this paper, a mathematical model for 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 R1 < 1, whereas the disease persists if R2 > 1.

Keywords

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

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