湖南文理学院学报(自然科学版)
湖南文理學院學報(自然科學版)
호남문이학원학보(자연과학판)
JOURNAL OF HUNAN UNIVERSITY OF ARTS AND SCIENCE(SCIENCE AND TECHNOLOGY)
2015年
2期
14-18
,共5页
饱和发生率%治疗%基本再生数%稳定性
飽和髮生率%治療%基本再生數%穩定性
포화발생솔%치료%기본재생수%은정성
saturated rate%treatment%basic reproduction number%stability
利用定义法给出SEIR模型的基本再生数,得到了各类平衡点存在的条件。利用Routh-Hurwitz判据证明了地方病平衡点是局部渐近稳定的;利用第二加性复合矩阵证明了地方病平衡点P*全局稳定性的充分条件。
利用定義法給齣SEIR模型的基本再生數,得到瞭各類平衡點存在的條件。利用Routh-Hurwitz判據證明瞭地方病平衡點是跼部漸近穩定的;利用第二加性複閤矩陣證明瞭地方病平衡點P*全跼穩定性的充分條件。
이용정의법급출SEIR모형적기본재생수,득도료각류평형점존재적조건。이용Routh-Hurwitz판거증명료지방병평형점시국부점근은정적;이용제이가성복합구진증명료지방병평형점P*전국은정성적충분조건。
The basic reproduction number of the model is given by using the definition, and the existing threshold conditions of all kinds of the equilibrium points are obtained. Locally asymptotic stability of the endemic equilibrium *P is proven by using the Routh-Hurwitz criterion, and the sufficient conditions of global asymptotic stability of the endemic equilibrium *P is also obtained by using the second additive compound matrix.