基于实际数据中不同年龄段病人的比例不一样这一现象,建立一个老挝湄公血吸虫病数学模型,模型中考虑人宿主和钉螺宿主的感染比例,并将人宿主分为不同的8个年龄段,得出了平衡点的存在性,求出基本再生数,对模型的平衡点的稳定性进行了讨论和数值模拟,最后给出最佳控制策略.
As the number of the patients varies in age group, in this paper we established a model of Schistosomiasis Mekongi in Laos. The prevalence rate of humans and the infection rate of snails were considered in this model. The human hosts were divided into 8 different age groups. The basic reproduction numbers were calculated. The stability of the disease-free equilibrium of the model was discussed and simulated numerically. Finally the optimal control strategy was given.