【摘要】 讨论了时变接触率和时变接种率的传染病模型,模型中考虑对易感者和染病者同时接种.通过计算得到了判别疾病流行与否的阈值.证明了当基本再生数小于1时,疾病是流行的;当基本再生数大于1时,疾病将成为地方病.更多还原

【Abstract】 In this paper,an impulsive epidemic model with time-varying contact rate and vaccination rate is proposed,in which both susceptible and infected population are vaccinated simultaneously .By calculation,the basic reproduction number is given to determinate whether the disease will be epidemic or not.Moreover,it is illustrated that if the basic reproduction number is less than unit,the disease will be extinct,whereas if the basic reproduction number is greater than unit,the disease will be endemic.更多还原