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中文摘要：
本文研究了一类具可变种群总数的SIS传染病模型，利用基于比较原理的新的分析技巧，获得了一些无病平衡点和传染病平衡点全局和局部指数稳定的充分条件，同时得到了平衡点指数收敛率与指数收敛区域的估计。
英文摘要：
An SIS epidemic model with varying total population size is studied. Using new analytic technique based on the concept of comparison,some suffcient conditions are obtained to guarantee the local or global exponential stability of the disease free equilibrium and the endemic equilibrium. Furthermore ,the estimate of the exponential convergence rate of the equilibrium and the estimate of the region of exponential convergence of the equilibrium are derived.
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