主講人：王其如  中山大學(xué)教授

時(shí)間：2021年12月3日9：00

地點(diǎn)：騰訊會(huì)議 503 261 969

舉辦單位：數(shù)理學(xué)院

主講人介紹：王其如，中山大學(xué)數(shù)學(xué)學(xué)院教授、博士研究生導(dǎo)師，廣東省工業(yè)與應(yīng)用數(shù)學(xué)學(xué)會(huì)常務(wù)副理事長(zhǎng)、黨支部書(shū)記，廣州工業(yè)與應(yīng)用數(shù)學(xué)學(xué)會(huì)理事長(zhǎng)、黨支部書(shū)記。從事泛函微分方程和時(shí)標(biāo)動(dòng)態(tài)方程方面的研究，是德國(guó)《數(shù)學(xué)文摘》和美國(guó)《數(shù)學(xué)評(píng)論》的評(píng)論員等。

內(nèi)容介紹：Of concern is the global dynamics of a two species Holling-II amensalism system  with nonlinear growth rate. The existence and stability of trivial equilibrium,  semi-trivial equilibria, interior equilibria and infinite singularity are  studied. Under different parameters, there exist two stable equilibria which  means that this model is not always globally asymptotically stable. Together  with the existence of all possible equilibria and their stability, saddle  connection and close orbits, we derive some conditions for transcritical  bifurcation and saddle-node bifurcation. Furthermore, global dynamics of the  model is performed. Next, we incorporate Allee effect on the first species and  offer a new analysis of equilibria and bifurcation discussion of the model.  Finally, several numerical examples are performed to verify our theoretical  results.