Spatiotemporal patterns of a structured spruce budworm diffusive model

發(fā)布者:文明辦發(fā)布時(shí)間:2023-06-07瀏覽次數(shù):485

主講人:舒洪英 陜西師范大學(xué)教授


時(shí)間:2023年6月8日19:00


地點(diǎn):騰訊會議 709 879 030


舉辦單位:數(shù)理學(xué)院


主講人介紹:舒洪英,2010年獲哈爾濱工業(yè)大學(xué)博士學(xué)位。2008年在加拿大阿爾伯塔大學(xué)留學(xué)兩年,2011年至2014年先后在加拿大新不倫瑞克大學(xué)、加拿大瑞爾森大學(xué)和約克大學(xué)任AARMS博士后研究員。2014年至2018年任職同濟(jì)大學(xué)特聘研究員,博士生導(dǎo)師。2018年至今任陜西師范大學(xué)特聘教授,博士生導(dǎo)師。2016年獲上海市浦江人才計(jì)劃,2017年獲陜西省百人計(jì)劃。主持2項(xiàng)國家自然科學(xué)基金項(xiàng)目,1項(xiàng)上海市自然科學(xué)基金項(xiàng)目和1項(xiàng)加拿大科研基金項(xiàng)目。主要研究微分動力系統(tǒng)及生物數(shù)學(xué)方面的應(yīng)用。已發(fā)表SCI收錄論文40余篇,分別發(fā)表在J. Math. Pures Appl., Journal of Differential Equations, SIAM Journal of Applied Mathematics, Nonlinearity, Journal of Dynamics and Differential Equations, Journal of Mathematical Biology,Bulletin of Mathematical Biology等SCI期刊上。


內(nèi)容介紹:In this talk, 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’s 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.