Advances in Analysis

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

DOI: 10.22606/aan.2016.12003

• 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

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.

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

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