学术动态
当前位置: beat365官方网站 > 学术动态 > 正文
兰州大学王智诚教授学术报告通知
发布时间 : 2024-05-09     点击量:

报告题目Traveling wave solutions to the competitive model with density-suppressed motility

报告人:王智诚教授 兰州大学

报告时间2024512日(星期日),1430—1530

报告地点:兴庆校区数学楼2-3会议室

 

报告摘要In this talk, we investigate the invasion and exclusion phenomenon of a foreign bacterium species with density-suppressed motility on a local bacterium species that only has random diffusion. Through introducing auxiliary problem, constructing relaxed super- and sub-solutions with spatially inhomogeneous decay rates and using energy estimation method, under appropriate parameter conditions, the existence of traveling wave solutions connecting two constant equilibrium points $(0,1,0)$ and $(1,0,1)$ with wave speed $c> 2\sqrt{1-a}$ is established, while such traveling wave solutions do not exist when $c<2\sqrt{1-a}$. Moreover, the existence of traveling wave solution with speed $c=2\sqrt{1-a}$ connecting $(0,1,0)$ and $(1,0,1)$ is obtained by a limiting process and energy estimations. Finally, we discuss the possible selection of wave profiles/speeds using linearization method and the possible impact of density-suppressed motility term on asymptotic spreading speed of traveling wave by numerical simulation.

 

个人简介:王智诚,兰州大学beat365官方网站教授,兰州大学“萃英学者”特聘教授,博士生导师。1994年本科毕业于西北师范大学,2007年在兰州大学获理学博士学位。主要成果发表在Arch. Rational Mech. Anal.JMPATrans. AMSSIAM J. Math. Anal.SIAM J. Appl. Math.Calc. Var. PDEJ. d’Anal. Math.JDEJDDENonlinearityJ. Nonlinear Sci. 等杂志上。2010年入选教育部新世纪优秀人才支持计划,20112019年分别获得甘肃省自然科学二等奖,2016年入选甘肃省飞天学者特聘教授,主持完成多项国家自然科学基金面上项目。目前担任两个SCI杂志International J. Bifurc. Chaos Mathematical Biosciences and Engineering (MBE) 的编委(Associate editor)。

陕西省西安市碑林区咸宁西路28号 &版权所有:beat·365(中国)在线体育-官方网站

邮编:710049     电话 :86-29-82668551     传真:86-29-82668551