学术报告Travelling waves solutions for delayed temporally discrete non-local reaction-diffusion equation
发布单位:5197com新浦京        浏览次数:12        发布时间:2021年09月10日

报告摘要: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.


报告时间:2021914日(周二)晚 20:00-21:00