中文摘要：

建立了一类考虑钉螺总数变化的血吸虫病动力学模型,利用谱半径的方法计算得到基本再生数R0,证明了当R0〈1时无病平衡点全局渐近稳定,当R0〉1时地方病平衡点全局渐近稳定.

英文摘要：

In this paper,a modified schistosomiasis model with variational total number of snails population is formulated and studied.By calculating,we obtain the basic reproduction number.By applying Laslle-Liapunov Theorem and Bendixson-Dulac Theorem,we prove the global stability of the disease-free equilibrium and endemic equilibrium under certain conditions.