一类具非线性接触率且具有免疫接种的SIRS模型  

SIRS epidemical model with nonlinear incidence rate and vaccinal immunity

作　　者：朱春娟[1] 王美娟[2] 孙凯玲[2] 

机构地区：[1]韶关学院数学与信息科学学院,韶关512005 [2]上海理工大学理学院,上海200093

出　　处：《上海理工大学学报》2010年第1期17-22,共6页Journal of University of Shanghai For Science and Technology

摘　　要：研究了具有免疫接种、免疫消除及具有非线性接触率的SIRS传染病模型,确定了疾病的基本再生数,讨论了在有因病死亡时或无因病死亡时,系统平衡点的存在性及其个数,得到了各类平衡点的稳定性理论.A SIRS（susceptible infectives remoued suspceptible） epidemical model in consideration of vaccinal immunity, immunity elimination and nonlinear incidence rate was presented;the threshold for the existence of infective disease was established;the existence and the number of positive equilibrium points of the model with or without the disease-related death rate were discussed and the stability of kinds of equilibrium points was analysed.

关 键 词：SIRS流行病模型 非线性接触率 阈值 平衡点 稳定性 

分 类 号：O175.1[理学—数学]