考虑环境因素的血吸虫传染病模型

A Schistosomae Infection Model Considering Environmental Factor

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.