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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.
The mathematical model of schistosomiasis infection in human body under environmental control conditions was studied. The variation regularity of susceptible bacteria, infectious bacteria and environmental pollution in human body were analyzed. The qualitative and the stability analysis of the model was carried out. The disease-free equilibrium And endemic disease equilibrium conditions, the sufficient conditions for each equilibrium point to be asymptotically stable are obtained.According to the actual data of schistosomiasis infection, the model is numerically simulated and the change trend of the model is drawn.