中文摘要：

讨论了一类基于媒体报道下的SIS传染病模型的动力学行为.该模型存在两个平衡点即一个无病平衡点和一个地方病平衡点.给出了控制疾病持久与灭绝的临界值R0,当R01时,无病平衡点是全局渐近稳定的,意味着疾病是灭绝的;另一方面,当R0〉1时,地方病平衡点是全局渐近稳定的,也即疾病是持久的.最后通过数值算例对本文的结论进行了验证.

英文摘要：

This paper aims to study the dynamic behavior of a SIS epidemic model with media coverage. The model exist two equilibria： a disease-free and a unique endemic equilibrium. We show R0 can govern the extinction and persistence of the disease. If 1 , the disease-free equilibrium is globally asymptotically stable which means the disease will die out. The oth-er hand, ifR0〉1 , the endemic equilibrium is globally asymptotically stable which implies the persistence of the disease. Final-ly ,a numerical example is given for verifying the theoretical result of this paper.