具有饱和发生率的脉冲接种SIR传染病模型  

Pulse Vaccination of a SIR Epidemic Model with Saturated Incidence

作　　者：李冬梅[1] 张煜[1] 王树忠[1] Yue WU 

机构地区：[1]哈尔滨理工大学应用科学学院,黑龙江哈尔滨150080 [2]Schlumberger Western Geco,Katy Tx,77494

出　　处：《哈尔滨理工大学学报》2016年第3期106-113,共8页Journal of Harbin University of Science and Technology

基　　金：黑龙江省自然科学基金(A2016004)

摘　　要：针对一类具有垂直感染和饱和发病率的脉冲接SIR传染病模型,研究了模型无病周期解的存在性及其稳定性,得到无病周期解的全局稳定性和模型一致持久性的条件,并对结果进行了数值模拟,验证了结论的正确性,同时给出模型中的参数对疾病传播的影响.This paper studies a class of pulse vaccination of a SIR epidemic model with vertical transmission saturated incidence. We study model with the existence and stability of the disease-free periodic solution, find the conditions of global stability of the disease-free periodic solution and the uniform persistence, and carry on the numerical simulation to verify the correctness of the conclusion. At the same time, we give parameters in the model for the influence of spread the disease.

关 键 词：脉冲传染病模型 无病周期解 全局渐近稳定性 一致持久性 

分 类 号：O175.3[理学—数学]