一类时滞SIR和SIS传染病组合模型行波解存在性分析  

Existence analysis of traveling wave solutions for a class of SIR and SIS infectious disease models with time delay

作　　者：付其飞 李庶民[1] FU Qi-fei;LI Shu-min(College of science,Kunming University of Science and Technology,Kunming 650500,China)

机构地区：[1]昆明理工大学理学院,云南昆明650500

出　　处：《陕西理工大学学报（自然科学版）》2021年第4期79-84,共6页Journal of Shaanxi University of Technology:Natural Science Edition

基　　金：国家自然科学基金资助项目(11561034)。

摘　　要：考虑因病死亡率的情况下,研究了一类具有非局部扩散的时滞传染病模型。通过构造一对上下解和运用Schauder不动点定理,得到了波速为连接无病平衡点和地方平衡点的行波解的存在性。进一步得出,对于非局部扩散速率D,波速c是单调增加的,对于时间延迟τ,波速c是单调递减的。A time-delay infectious disease model with nonlocal diffusion is studied,considering the mortality rate of disease.After constructing a pair of upper and lower solutions and applying Schauder fixed point theorem,we obtain the joint undisturbed equilibrium and the local equilibrium,existence of traveling wave solutions of.It is further obtained that for the nonlocal diffusion rate D,the wave velocity c is monotonically increasing,and for time delay betweenτ,wave velocity is monotone decreasing c.

关 键 词：行波解 上下解 非局部扩散 无病平衡点 地方平衡点 

分 类 号：O175.2[理学—数学]