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Dynamics of predator-prey models with Sigmoid functional response

發(fā)布者:文明辦發(fā)布時(shí)間:2022-11-01瀏覽次數(shù):427


主講人:張祥 上海交通大學(xué)特聘教授


時(shí)間:2022年11月4日19:30


地點(diǎn):騰訊會(huì)議 686 200 361


舉辦單位:數(shù)理學(xué)院


主講人介紹:張祥,上海交通大學(xué)特聘教授、歐洲科學(xué)與藝術(shù)院院士。從事動(dòng)力系統(tǒng)的定性、分支和可積理論的研究。主要結(jié)果發(fā)表在A(yíng)merican J. Math., Comm. Math. Phys., J. Differential Equations, J. Functional Analysis, Trans. Amer. Math. Soc. 等國(guó)際學(xué)術(shù)期刊上。 目前擔(dān)任中國(guó)數(shù)學(xué)會(huì)奇異攝動(dòng)專(zhuān)業(yè)委員會(huì)主任、以及IJBC和QTDS等SCI雜志的編委等。


內(nèi)容介紹:This talk introduces our results on the global dynamics of the predator-prey models with Sigmoid functional response. The main results are on global stability of the positive equilibrium, sub-and supercritical Hopf bifurcation, Bogdanov-Takens bifurcation, relaxation oscillation, canard explosion, homoclinic and heteroclinic connections and so on. The main tools are qualitative and bifurcation theories via singular perturbation. This is a joint work with SU Wei.