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Delay induced complex dynamics in predator-prey systems
[  作者:    人气:  创建时间:2019/06/20  ]

报告名称:Delay induced complex dynamics in predator-prey systems

主办单位:数学与统计学学院

报告专家:董岳平

专家所在单位:华中师范大学

报告时间:2019年6月24日(周一)下午4:30-6:00

报告地点:数学与统计学学院201报告厅

专家简介:董岳平,2014年9月博士毕业于日本静冈大学,其后在日本东京大学、九州大学和青山学院大学从事博士后研究工作,并于2018年6月入职华中师范大学。主要从事生物数学,动力系统理论与应用等方向的研究。先后在J. Theor. Biol.,Nonlinear Dyn., Nonlinear Anal. Real World Appl.,Appl. Math. Comput.,Int. J. Bifurcat. Chaos,DCDS-B等学术期刊上发表SCI论文十余篇。

报告摘要:In this talk, two predator-prey type systems with multiply delays are considered to illustrate how time delays induce the complicated dynamics. A detailed classification framework of stability switches is given analytically and numerically to detect the Hopf bifurcation thresholds of delayed system. Both systems can show rich dynamics including periodic solutions through Hopf bifurcation and the classical period doubling route to chaos. The provided method can also be used to study other delayed systems.