TRAVELLING FRONT SOLUTIONS IN A DIFFUSIVE VECTOR DISEASE MODEL WITH SPATIO-TEMPORAL DELAY  

作　　者：Cunhua Zhang Dept.of Math.,Lanzhou Jiaotong University,Lanzhou 730070 

出　　处：《Annals of Differential Equations》2012年第4期471-479,共9页微分方程年刊（英文版）

基　　金：Supported by the National Natural Science Foundation of China (10961017)

摘　　要：This paper is concerned with travelling front solutions to a vector disease model with a spatio-temporal delay incorporated as an integral convolution over all the past time up to now and the whole one-dimensional spatial domain R.When the delay kernel is assumed to be the strong generic kernel,using the linear chain techniques and the geometric singular perturbation theory,the existence of travelling front solutions is shown for small delay.This paper is concerned with travelling front solutions to a vector disease model with a spatio-temporal delay incorporated as an integral convolution over all the past time up to now and the whole one-dimensional spatial domain R.When the delay kernel is assumed to be the strong generic kernel,using the linear chain techniques and the geometric singular perturbation theory,the existence of travelling front solutions is shown for small delay.

关 键 词：diffusive vector disease model nonlocal delay strong generic kernel travelling wave fronts 

分 类 号：O175[理学—数学]