报告题目：Dynamics of a Predator-Prey System in Advective Environments

主讲人： 聂华教授

时 间：2023年11月29日（周三）下午16：00

地 点：本部主楼B543

主办单位：理学院

主讲人简介：

    聂华，教授、博士生导师，研究方向：反应扩散方程与空间生态种群模型。现任中国数学会生物数学专业委员会委员、中国数学会计算数学分会理事。2006年获得博士学位，2012年入选教育部“新世纪优秀人才支持计划”；2015年入选陕西省“青年科技新星”；2023年获批陕西省杰出青年基金项目；多次赴美国明尼苏达大学、澳大利亚新英格兰大学、台湾清华大学合作研究与访问。已主持国家自然科学基金项目4项，主持完成省部级项目3项；已在“SIAM J. Appl. Math.”、“SIAM J. Math. Anal.”、“SIAM J. Appl. Dyn. Syst.”、“J. Differential Equations”、“J. Math. Biol.”、“Math. Biosci.”、“European J. Appl. Math.”、“Proc. London Math. Soc.”、“Sci. China Math.”等国内外知名刊物上发表学术论文60多篇。

摘要:

    We investigate the dynamics of predator-prey models in advective environments in terms of some critical advection rates, the critical mortality rates of the specialist predators or the critical predation rates of the generalist predators. In open advective environments, the results reveal significant differences between the specialist predator-prey system and the generalist predator-prey system, including the evolution of the critical predation rates with respect to the ratio of the flow speeds. In closed advective environments, no matter how large advection and diffusion rates are, the specialist predators can successfully invade as long as the mortality rate is sufficiently small, while the generalist predators can take-over the prey if the predation rate is relatively large. Moreover, large advection rates and small diffusion rates will lead to the concentration of the species at the downstream or the upstream. And if the diffusion rates are large, then the densities of the species will be less spatial heterogeneous. These findings may have important biological implications on the invasion of predators in advective environments.