時間：2023年8月17日，20:00-21:30
地點： 線上騰訊#144-356-043🏮、密碼893347；線下1C207
主講人: 汪翔升，教授，美國路易斯安那大學拉法葉分校
題目🥽：Spatiotemporal patterns of a structured spruce budworm diffusive model
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.
主講人簡介🧝🏼♀️：汪翔升，美國University of Louisiana at Lafayette大學教授♉️👩🏻🍼、博導🧓🏿。於2009年獲得香港城市大學博士學位；2009-2013年先後在香港城市大學👩⚖️、加拿大York大學、Memorial University of Newfoundland大學從事博士後研究工作；主要研究漸近分析、微分動力系統👷🏿、生物數學和計算數學🧑🏽⚕️。迄今為止已在Advances in Mathematics、J. Math. Pures Appl.🙇🏼♀️、SIAM J. Control and Optimization、Studies in Applied Mathematics、JDE、JDDE👩🏻🚀、BMB、JMB、JTB、MBS等國際專業權威期刊上發表學術論文六十余篇。
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