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扬州大学数学科学学院学术报告2023-24

报告题目:Speed sign of traveling waves to a competitive Lotka-Volterra recursive system with bistable nonlinearity

报告简介:Traveling wave propagation is a significant phenomenon observed in population biology. Due to the occurrence of nonlocal effect in recursive systems, a deep understanding of the wavefront in the propagation direction (speed sign) is challenging. We study the sign of wave speed for bistable traveling waves to a two-species competitive system that biologically models the dynamics of two species in competition for a common resource. By a proper choice of the kernel functions, we transfer our model into a coupled localized differential system and shed a new light on how to determine the wave speed sign. Sufficient conditions with symmetry are obtained on the propagation directions of the wavefronts. This symmetry is further verified in the final analysis and numerical simulations are provided to illustrate our theoretical results. This talk is based on the joint work with Prof. Guo Lin and Prof. Chunhua Ou.

报告人:汪亚慧博士,兰州大学

报告时间:2023年6月14日(星期三)上午10:00-12:00

报告地点:扬州大学瘦西湖校区56号楼  

主办单位:扬州大学数学科学学院

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