“数理论坛”第97期：Exploring the dynamics of a tritrophic food chain model with multiple gestation periods

报告题目：Exploring the dynamics of a tritrophic food chain model with multiple gestation periods

报告人：董岳平，华中师范大学数学与统计学院

报告时间: 2019年 6月4日 (星期二) 10:30-12:00

地点:东区教学综合楼A1404报告厅

摘要：

This work is mainly focused on the series of dynamical analysis of tritrophic food chain model with Sokol-Howell functional response, incorporating the multiple gestation time delays for more realistic formulation. Basic properties of the proposed model are studied with the help of boundedness, stability analysis, and Hopf-bifurcation theory. By choosing the fixed parameter set and varying the value of time delay, the stability of the model has been studied. There is a critical value for delay parameter. Steady state is stable when the value of delay is less than the critical value and further increase the value of delay beyond the critical value makes the system oscillatory through Hopf-bifurcation. Whereas, another delay parameter has a stabilizing effect on the system dynamics. Chaotic dynamics has been explored in the model with the help of phase portrait and sensitivity on initial condition test. Numerical simulations are performed to validate the effectiveness of the derived theoretical results and to explore the various dynamical structures such as Hopf-bifurcation, periodic solutions and chaotic dynamics.

报告人简介：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

邀请人：黄刚教授