考虑环境因素的血吸虫传染病模型  

A Schistosomae Infection Model Considering Environmental Factor

作　　者：张剑[1] 张宏民[1] 

机构地区：[1]齐齐哈尔大学理学院,黑龙江齐齐哈尔161006

出　　处：《数学的实践与认识》2013年第13期264-269,共6页Mathematics in Practice and Theory

基　　金：黑龙江省自然科学基金(A201014);齐齐哈尔大学青年教师科研启动支持计划一科学技术类一般项目(2011k-M27)

摘　　要：研究了环境制约条件下人体内血吸虫传染的数学模型,分析了人体内易感细菌、受传染细菌和环境污染水平的变化规律,对模型进行了定性和稳定性分析,讨论了模型无病平衡点和地方病平衡点的存在条件,得到了各个平衡点渐近稳定的充分条件.结合实际血吸虫病感染数据,对模型进行数值模拟,并绘制出模型的变化趋势图.In this paper, a mathematical model of schistosoma infection under environment- driven is researched, it analyses the changing rules of sensitive bacteria, infected bacteria and environment pollution level. The qualitative and stable analyses of the model are discussed. The existential condition of infection-free equilibrium and endemic equilibrium, and the sufficient conditions of locally asymptotic stability of equilibria are obtained. Based on the actual schistosoma infection data, the paper conducts the numerical simulation, and draws out the changing trend figure of model.

关 键 词：平衡点 局部渐近稳定 基本再生数 血吸虫传染 

分 类 号：R311[医药卫生—基础医学]