特定人群健康状况数学模型及适定性分析  

Modeling of health status on given public and its analysis of well-posedness

作　　者：王合义[1,2] 许跟起[3] 韩忠杰[3] 

机构地区：[1]天津大学系统工程研究所 [2]天津市教育教学研究室,天津300200 [3]天津大学数学系

出　　处：《系统工程学报》2008年第4期385-391,共7页Journal of Systems Engineering

基　　金：天津市自然科学基金资助项目(06YFJMJC12500)

摘　　要：以特定人群的健康状况为研究对象,结合健康状况的分类,建立了一种与时间有关的特定人群健康状况及其相互转化的数学模型.该模型由常微分方程和偏微分方程及其边界和初始条件构成,考虑到时间效应,能够较为精确地反映出生活实际,从而为预测及制定相应措施以改善人群健康结构提供依据.对模型进行了分析,运用线性算子半群理论研究了模型的解的适定性.For the health status of given public, combining the sorts of health of the public, a math- ematical model with time for all types of health status of the public and their conversion among the types is proposed. The model consists of ordinary and partial differential equations with their bound- ary and initial conditions. As considering time effect, it can accurately reflect life reality, thus this model provides a basisto predict and institute corresponding measure, and to improve people＇ s health structure. By using linear operator semigroup theory, it is shown that the solution obtained by the model is well-posedness.

关 键 词：特定人群 健康状况 数学模型 适定性 

分 类 号：N945.12[自然科学总论—系统科学]