摘要
讨论了一类具有年龄结构和接种措施的SEIR流行病模型,其中治愈者无终生免疫力。获得了再生数的解析表示,无病平衡态的局部稳定性及在一定条件下的全局稳定性。证明了地方病平衡态的存在性和不存在性。
An epidemic model with vaccination and agestructure, in which the recovered individuals get no lifetime immunity, is posed. Analytical expression for reproductive number is obtained, local stability and global stability of infectionfree state are discussed. Some results on existence and nonexistence of endemic state are found out.
出处
《工程数学学报》
CSCD
北大核心
2003年第2期41-45,共5页
Chinese Journal of Engineering Mathematics
关键词
流行病模型
接种
年龄结构
再生数
平衡态
稳定性
epidemic model
vaccination
age-structure
reproductive number
stability