Dynamic Behavior of a SIS Epidemic Model with Media Coverage

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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R_0,当R_0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R_0>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.

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.

作者:

郭文娟张启敏

机构地区:

北方民族大学数学与信息科学学院宁夏大学数学统计学院

出处:

《betway官方app 学报：自然科学版》 CAS 北大核心 2017年第3期42-47,共6页

基金:

国家自然科学基金(11461053 11661064)

关键词:

流行病模型媒体报道基本再生数全局渐近稳定性

epidemic model media coverage basic reproduction number global asymptotic stable

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