学术报告报告题目：Spatiotemporal patterns of a structured spruce budworm diffusive model
报 告人：汪翔升教授(路易斯安纳大学)
报告时间: 2023 年6月2日 (星期五)上午10:00-11:00
报告地点：四号楼4318会议室
邀 请人：金海洋教授
欢迎广大师生前往！
数学学院
2023年5月31日
报告摘要：We formulate and analyze a general reaction-diffusion equation with delay, inspired by age-structured spruce budworm population dynamics with spatial diffusion by matured individuals. The model has its particular feature for bistability due to the incorporation of a nonlinear birth function (Ricker function) and a Holling type function of predation by birds. Here we establish some results about the global dynamics, in particular, the stability of and global Hopf bifurcation from the spatially homogeneous steady state when the maturation delay is taken as a bifurcation parameter. We also use a degree theoretical argument to identify intervals for the diffusion rate when the model system has a spatially heterogeneous steady state. Numerical experiments presented show interesting spatial temporal patterns.
报告人简介：汪翔升，美国路易斯安纳大学教授，2009年获得香港城市大学博士学位，2009-2013年先后在香港城市大学，加拿大York大学，Memorial University of Newfoundland从事博士后研究工作，主要研究渐进分析、微分动力系统、生物数学与计算数学。迄今为止已在Advance in Mathematics，J. Math. Pures Appl.，SIAM J.Control and Optimization，Studies in Applied Mathematics，JDE，JDDE，BMB和JTB等期刊上发表学术论文四十余篇。