中文摘要：

本文研究一类考虑接种、剔除和隔离等策略的SIQR流行病模型，得到疾病流行与否的阈值一基本再生数R0；证明无病平衡点岛和地方病平衡点E＊的存在性及全局稳定性；指出接种、隔离和剔除等预防和控制措施均可使疾病的流行得以控制；最后，进行计算机数值模拟来进一步验证理论结果的正确性．

英文摘要：

A kind of SIQR epidemic model with vaccination, elimination and quarantine strategy is studied, the threshold-basic reproductive number R0 which determines whether the disease is extinct or not is obtained. Firstly, the existence and global stabilities of the disease-free equilibrium E0 and the endemic equilibrium E＊ are proved. Secondly, the conclusions indicate that vaccination , elimination and quarantine strategy benefit the efficient restraining disease spread. Finally, some numerical simulations are given to illustrate the theoretical analysis.