Minimal wave speed of a diffusive SIR epidemic model with nonlocal delay  

作　　者：Fuzhen Wu Dongfeng Li 

机构地区：[1]Department of Basic,Zhejiang University of Water Resources and Electric Power,Hangzhou,Zhejiang 310018,P.R.China [2]College of Hydraulic and Environmental Engineering Zhejiang University of Water Resources and Electric Power Hangzhou,Zhejiang 310018,P.R.China

出　　处：《International Journal of Biomathematics》2019年第7期179-197,共19页生物数学学报（英文版）

基　　金：The second author was supported by the National Key Research and DevelopmentProgram of China (No. 2016YFC0402502)。

摘　　要：This paper is concerned with the minimal wave speed in a diffusive epidemic model with nonlocal delays.We define a threshold.By presenting the existence and the nonexistence of traveling wave solutions for all positive wave speed,we confirm that the threshold is the minimal wave speed of traveling wave solutions,which models that the infective invades the habitat of the susceptible.For some cases,it is proven that spatial nonlocality may increase the propagation threshold while time delay decreases the threshold.

关 键 词：Upper-lower solutions asymptotic spreading nonmonotone system 

分 类 号：O17[理学—数学]