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龙山数学论坛系列报告06: Spreading properties for a predator-prey system with nonlocal dispersal and climate change

发布日期:2026/03/25    点击:

报告题目Spreading properties for a predator-prey system with nonlocal dispersal and climate change

:吴事良,西安电子科技大学

人:杨健

报告时间20260329(星期10:15-11:15

报告地点7JC214

报告摘要In this talk, we investigate the spreading properties for a predator-prey system with nonlocal dispersal and climate change. We are concerned with the case when the prey grow relatively rapidly at one side of the habitat and grow relatively slowly at another side of the habitat. We are interested in the effect of the climate change on the spreading speed of the predator and prey.In the case where the predator is faster than the prey, we show that the predator and the prey have the same leftward spreading speed and the same rightward spreading speed, respectively, which depend on c, the climate change speed, and , the maximum and minimum speeds of the prey without predator. While in the case where the prey is faster than the predator, we find that the solution can form a multi-layer wave and the two species have different leftward spreading speeds and different rightward spreading speeds, which depend on c, and , the maximum and minimum speeds of the predator when the density of the prey attains its maximum and minimum capacity.

报告人简介吴事良,西安电子科技大学教授、博士生导师,陕西省科技创新团队带头人。现为中国数学会理事和陕西省数学会常务理事。主要研究方向为微分方程、动力系统及应用。主持国家自然科学基金5项(含面上3项)和陕西省杰出青年科学基金1项;获陕西省科学技术奖一等奖2项、二等奖1项(第一完成人),以及第十一届陕西青年科技奖。部分成果发表在J. Math Pures Appl.、Trans. Amer. Math. Soc.、SIAM J. Math Anal.、Calc. Var. PDE、JDE、Nonlinearity、JDDE、PAMS、J. Nonlinear Science等期刊。现任SCI期刊International Journal of Biomathematics的编委。

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