摘要
在传染病模型K-M三假设的基础上,进一步的将整体人群按年龄层次分为两个阶段结构,同时考虑对传染病的积极干预,即将染病人群分为染病未被隔离和染病即被隔离两种状态.研究了具有这两种特征的SIRS传染病模型,证明了该模型解的非负性、有界性和整体存在唯一性.
Based on the K- M model assumption of the infection diseases model, a SIRS infections disease model is discussed that the whole population is divided into two groups by both age： immature, mature and isolation： isolation, non- isolation. The non - egative, boundary, existence and uniqueness of solution of the model are proved by application of the ordinary differential theory.
出处
《江西师范大学学报（自然科学版）》
CAS
北大核心
2005年第4期287-290,共4页
Journal of Jiangxi Normal University(Natural Science Edition)
基金
武警部队资助课题(WKH2004-7)
关键词
传染病模型
阶段结构
隔离
解的存在唯一性
infectious disease model
stage structure
isolation
existence and uniqueness of solution
