具有饱和恢复率的SEIR时滞模型的行波解

Traveling wave solutions for a delayed SEIR model with saturated recovery rate

研究一类具有饱和恢复率的SEIR时滞模型的行波解.首先,考虑一类二维系统初值问题的适定性;然后,通过构造一对有界的向量值上、下解得到一个闭凸集;最后,利用Schauder不动点定理证明:当基本再生数R^(0)>1,波速c>c^(*)时模型存在非平凡行波解.

The traveling wave solutions are discussed for a delayed SEIR epidemic model with saturated recovery rate.Firstly,the well-posedness of the initial value problem for a class of two-dimensional system is considered.Then by constructing the bounded vector-value upper-lower solutions,a closed convex set is obtained.Finally,the existence of nontrivial traveling wave solutions is proved for basic reproduction number R_(0)>1,wave velocity c>c^(*)by applying the Schauder s fixed point theorem.