| 媒体报道下的一类SIS传染病模型的动力学行为研究 |
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| 作者单位： | ;1.北方民族大学数学与信息科学学院;2.宁夏大学数学统计学院 |
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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_01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_01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.
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| 关 键 词： | 流行病模型 媒体报道 基本再生数 全局渐近稳定性 |
Dynamic Behavior of a SIS Epidemic Model with Media Coverage |
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| Institution: | ,School of Mathematics and Computer Science,Beifang University of Nationalities,School of Mathematics and Statistics,Ningxia University |
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| Abstract: | 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 R_0 can govern the extinction and persistence of the disease.If R_0≤1,the disease-free equilibrium is globally asymptotically stable which means the disease will die out.The other hand,if R_0 >1,the endemic equilibrium is globally asymptotically stable which implies the persistence of the disease.Finally,a numerical example is given for verifying the theoretical result of this paper. |
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| Keywords: | epidemic model media coverage basic reproduction number global asymptotic stable |
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