一类具有媒体报道和潜伏期的手足口病模型的分析  

Analysis of a Kind of Hand-Foot-Mouth Disease Model with Media Coverage and Incubation Period

作　　者：邓佳宁 董家兴 杜嘉鑫 王建华 李姝奇 刘璐菊[1] 

机构地区：[1]河南科技大学数学与统计学院,河南 洛阳

出　　处：《自然科学》2022年第4期450-457,共8页Open Journal of Nature Science

摘　　要：本文研究了一类受媒体报道影响和潜伏期的手足口病模型,计算手足口病模型的基本再生数。利用Hurwitz判据、Laypunov函数讨论无病平衡点的稳定性,当基本再生数小于1时,无病平衡点是全局渐近稳定的;当基本再生数大于1时,无病平衡点是不稳定的。同时利用Hurwitz判据讨论了地方病平衡点的稳定性,得到地方病平衡点是局部渐近稳定的。A hand-foot-mouth disease model with media coverage and the incubation period has been considered in this article. The basic reproduction number of the hand-foot-mouth disease model is calculated. By using the Hurwitz criterion and Laypunov function, the disease-free equilibrium is globally asymptotically stable when the basic reproduction number is under one. When the basic reproduction number is above one, the disease-free equilibrium is unstable. Meanwhile, the stabil-ity of the endemic equilibrium is discussed by using the Hurwitz criterion, which is locally asymptotically stable.

关 键 词：手足口病模型 基本再生数 Hurwitz判据 Laypunov函数 渐近稳定的 

分 类 号：O175[理学—数学]