连续接种的具有年龄结构的SIS型传染病模型  

Age-structured SIS Communicable Disease Model with Continuous Vaccination

作　　者：刘汉武[1] 徐洁[2] 刘启明 

机构地区：[1]河北科技大学理学院,石家庄050018 [2]西安交通大学理学院,西安710049 [3]军械技术工程学院,石家庄050003

出　　处：《工程数学学报》2002年第4期25-29,共5页Chinese Journal of Engineering Mathematics

摘　　要：研究按比例对各年龄的易感者进行接种对传染病传播过程的影响,提出了具有年龄结构的SIS型传染病的接种模型。对模型的动力学性态进行了分析,得到了地方病平衡解唯一存在的条件,平衡解稳定的条件,还研究了接种率的大小对疾病流行的影响。The influence of the vaccination to the spreading of disease is studied. Age-Structured SIS communicable disease model with proportional vaccination is formulated. The dynamical behaviors of the model is discussed. The uniqueness and existence of the positive equilibrium is proved. Then the stability conditions of equilibria are obtained. The effect of vaccination on the spreading of disease is analyzed.

关 键 词：连续接种 年龄结构 SIS型传染病模型 平衡解 稳定性 

分 类 号：R183[医药卫生—流行病学]