摘要
首先,建立了一个饱和发生率受媒体影响的SEIS模型,根据正平衡点的存在性得出基本再生数R0;其次,运用Routh-Hurwitz判据定理证明了地方病平衡点在某条件下的局部渐近稳定性;最后,利用第二加性复合矩阵证明了地方病平衡点的全局稳定性.
At first, this paper established a SEIS model of saturated rate is influenced by the media, according to the basic reproductive number is obtained for the existence of a positive equilibrium;Then, using the Routh-Hurwitz criterion to prove the endemic equilibrium under certain conditions is locally asymptotically stable.Finally, using the Second additive compound matrix proves the endemic equilibrium under the conditions of global stability.
出处
《数学的实践与认识》
北大核心
2016年第10期216-222,共7页
Mathematics in Practice and Theory
基金
山西省自然科学基金(2012011002-1)
山西省131人才工程项目
山西省留学回国人员科技活动择优资助项目
关键词
饱和发生率
第二加性复合矩阵
全局稳定性
saturation incidence
second additive compound matrix
global stability
