摘要
研究一类具有饱和治愈率和双线性发生率的离散扩散SEIR模型行波解的存在性。首先利用上下解的方法结合Schauder不动点定理证明截断问题的解的存在性;其次,通过极限方法证明当R_(0)>1,c>c^(*)时,系统存在连接无病平衡点和正平衡点的行波解,通过分析证明行波解在无穷远处的渐近行为。
In this paper,the existence of traveling wave solutions for a kind of discrete diffusion SEIR model with saturated recovery rate and bilinear occurrence rate is studied.Firstly,the existence of solutions for truncationproblem is proved by using the method of upper and lower solutions and the Schauder fixed point theorem;Secondly,it is proved by the limit method that when R_(0)>1,c>c^(*),the system has traveling wave solutions connecting the disease-free equilibrium point and the positive equilibrium point.Finally,the asymptotic behavior of traveling wave solution at infinity is proved.
作者
李敖宇
LI Aoyu(School of Mathematics and Statistics,Xidian University,Xi'an 710071,Shaanxi,China)
出处
《山东大学学报(理学版)》
北大核心
2025年第8期106-115,共10页
Journal of Shandong University(Natural Science)
基金
陕西省杰出青年科学基金项目(2020JC-24)。
关键词
饱和治愈率
SEIR模型
行波解
格微分方程
saturated recovery rate
SEIR model
traveling wave solution
lattice differential equation
