一类带有脉冲疫苗接种的分数阶SIS传染病模型的稳定性分析

Stability Analysis of a Class of Fractional-Order Sis Models with Pulse Vaccination

分析了一类定时脉冲疫苗接种的分数阶SIS传染病模型的稳定性.基于分数阶比较定理,推导出脉冲分数阶SIS系统的平凡解是一致渐近稳定的.也就是说,疾病将会最终消亡.最后,通过仿真实例验证了理论结果的正确性,同时也仿真出分数阶参数和疫苗接种比例对疾病衰减速度的影响.这对预防和控制传染病的传播具有一定的理论指导作用.

The stability of a class of fractional-order SIS models with pulse vaccination is analyzed in this paper.Based on the fractional-order comparison theorem,the trivial solutions of the impulsive fractional-order SIS systems axe uniformly asymptotically stable.That is,the disease will eventually die out.Finally,the theoretical results axe verified by simulation examples,and the effects of fractional-order parameter and vaccination ratio on the rate of disease attenuation are also simulated.This study has certain theoretical guiding function to prevent and control the spread of infectious diseases.