CAJ | 학술논문

研究了易感者被感染后按一定比例分别进入潜伏类和染病类的具有年龄结构MSEIS模型,得到了该模型的基本再生数R0的表达式,证明了当R0〈1时,无病平衡点是全局渐近稳定的;当R0〉1时,无病平衡点不稳定,此时系统至少存在一个地方病平衡点,并在一定条件下利用Volterra积分方程得到了地方病平衡点的局部渐近稳定性.
연구료역감자피감염후안일정비례분별진입잠복류화염병류적구유년령결구MSEIS모형,득도료해모형적기본재생수R0적표체식,증명료당R0〈1시,무병평형점시전국점근은정적;당R0〉1시,무병평형점불은정,차시계통지소존재일개지방병평형점,병재일정조건하이용Volterra적분방정득도료지방병평형점적국부점근은정성.
An age-structured MSEIS model is considered,in which a certain percentage of susceptibles could enter the infectious class without experiencing the latent period.The basic reproductive number is established for the model.It is proved that the disease free equilibruim is globally asymptotically stable if R01;the disease free equilibruim is unstable if R01,and there at least exist one endemic equilibruim which can be proved that it is locally asymptotically stable under certain conditions by using Volterra integral equation.