摘要
本文讨论了一类含潜伏期传染的ＳＥＩＲＳ模型，确定了各类平衡点存在的条件阈值．利用线形化和李亚普诺夫－拉塞尔不变集的方法，得到了各类平衡点的稳定性结论，揭示了潜伏期传染和染病期传染对疾病发展趋势的共同影响。
An SEIRS model having infectious force in the latent period is discussed in this paper, the conditions and threshold to the existence of various equilibriums are established. By means of linearing and Lyapunov-Lassel invariant set theorem, we obtained the stable results of various equilibriums. The together influence of the latent period and infected period to the disease is exposed.
出处
《生物数学学报》
CSCD
2001年第4期392-398,共7页
Journal of Biomathematics
基金
自然科学基金资助项目(19971066)
