学术空间

【数学与应用数学系系列讲座第2场】 王丽娜:Stability of traveling wave fronts for a modified vector disease model

报告题目:Stability of traveling wave fronts for a modified vector disease model

 

报告人:王丽娜 副教授 北京工商大学

 

报告时间:3月19日下午16:00-16:40

 

报告地点:腾迅会议 ID: 658 943 879

 

报告人简介: 王丽娜,北京工商大学副教授。2011年博士毕业于首都师范大学,2011年-2014年在华东师范大学偏微分方程中心做博士后。她的研究兴趣主要是抛物系统以及抛物双曲耦合系统行波解的存在性及稳定性。目前在国内外重要期刊上发表论文十余篇。

 

报告摘要:

In this talk, we are concerned with the stability of traveling front solutions for a modified vector disease model. By applying geometric singular perturbation method, we first prove that the traveling fronts with small delay are the small perturbations of the traveling fronts without delay. Then by detailed spectral analysis, Evans function and some numerical simulations, we can prove that the traveling fronts with noncritical speeds are nonlinearly exponentially stable in some exponentially weighted spaces.