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學術報告Travelling waves solutions for delayed temporally discrete non-local reaction-diffusion equation
[ 作者: 來源:理學院 瀏覽:10 錄入時間:2021年09月10日 ]

報告摘要:This paper deals with the existence of traveling wave solutions to a delayed temporally discrete non-local reaction diffusion equation model, which has been derived recently for a single species with age structure. When the birth function satisfies monotonic condition, we obtained the traveling wavefront by using upper and lower solution methods together with monotonic iteration techniques. Otherwise, without the monotonicity assumption for birth function, we constructed two auxiliary equations. By means of the traveling wavefronts of the auxiliary equations, using the Schauder’s fixed point theorem, we proved the existence of a travelling wave solution to the equation under consideration with speed c > c? , where c? > 0 is some constant. We found that the delayed temporally discrete non-local reaction diffusion equation possesses the dynamical consistency with its time continuous counterpart at least in the sense of the existence of traveling wave solutions.

 

報告時間:2021914日(周二)晚 20:00-21:00

報告地點:線上,騰訊會議號:492344752

 

報告人簡介:

 

郭志明,廣州大學數學與信息科學學院教授,博士生導師。長期致力于微分方程及其在生物數學中的應用研究。已在JDEJMBJDDE等雜志發表高質量學術論文70多篇,其中被SCI收錄50余篇,他人引用超過1000次。主持以及完成國家自然科學基金面上項目4項,參加完成國家自然科學基金重點項目1項,主持完成高校博士點基金1項,是教育部創新團隊泛函微分方程及其相關問題的核心成員。


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