报告题目：Complex dynamics of a tumor-immune system with antigenicity

报告人：  陈玉明 教授

报告时间：2021年1月4日（周一）9:00—10:30

报告地点：腾讯会议ID: 301 176 685

报告摘要: Taking into account the effect of antigenicity, we propose and analyze a conceptual model for the tumor-immune interaction. The model is described by a system of two ordinary differential equations. Though simple, the model can have complicated dynamical behaviors. Besides the tumor-free equilibrium, there can be at most three tumor-present equilibria. The tumor-present equilibrium can be a saddle or stable node/focus. Sufficient conditions on the nonexistence of nonconstant periodic solutions are provided. Bifurcation analysis including Hopf bifurcation and Bogdanov-Takens bifurcation is carried out. The theoretical results are supported by numerical simulations. Numerical simulations reveal the complexity of the dynamical behaviors of the model, which includes the subcritical/supercritical Hopf bifurcation, homoclinic bifurcation, saddle-node bifurcation at a nonhyperbolic periodic orbit, the appearance of two limit cycles with a singular closed orbit, and so on. Some biological implications of the theoretical results and numerical simulations are also provided.

报告人简介: : 陈玉明，教授，博士生导师。2000 年获得加拿大约克大学理学博士学位，2000 年 9 月至 2001 年 6 月在加拿大阿尔伯塔大学从事博士后研究，2001 年 7 月 至今任教于加拿大罗瑞尔大学。主要研究兴趣为动力系统和泛函微分方程理论及其在生物数学和神经网络中的应用，已在包括SIAM Journal on Mathematical Analysis、Nonlinearity、Journal of Differential Equations、Physica D、Proceedings of the American Mathematical Society、Mathematical Biosciences、Neural Networks等国际著名刊物发表论文 100 余篇，研究成果被同行广泛引用，曾获安大略省科技与创新部早期研究者奖。主持4 项加拿大国家自然科学与工程理事会科研基金项目，参与3项中国国家自然科学基金面上项目。

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