%0 Journal Article
%T A CONTROLLED AGE-STRUCTURED POPULATION MODEL FOR THE SPREAD OF UNIVERSALLY FATAL DISEASES
年龄结构的致命性传染病控制模型
%A GUO BAO-ZHU
%A
郭宝珠
%J 系统科学与数学
%D 1995
%I
%X We develop, on the basis of work of Brauer J. Math. Boil. 28(1990), 451-462], a controlled age-structured population model for the spread of universally fatal deseases which is a group of partial equations with nonlocal boundary conditions. The existence and uniqueness of solution and the differential existence of nonnegative epidemic equibrium state are proved. Finally, we establish the stability and the convergent results for the equilibrium state.
%K Epidemiology
%K stability of endemic equilibrium
%K distributed parameter control system
%K age-structured model
传染病学,传染病平衡态的稳定性,分布参数控制系统,年龄结构模型
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=0CD45CC5E994895A7F41A783D4235EC2&aid=62101E1732CCBD0E60A1859B457545D3&yid=BBCD5003575B2B5F&vid=23CCDDCD68FFCC2F&iid=38B194292C032A66&sid=1A363081E1FF7014&eid=B4E8EA49DAAEB84F&journal_id=1000-0577&journal_name=系统科学与数学&referenced_num=0&reference_num=0