报告题目：Dynamic behavior of taxis-driven intraguild predation model for three species
报 告 人：任国强教授 华中科技大学
报告时间：2024年11月28日 14:00-15:00
报告地点：腾讯会议 ID：644-735-342
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校内联系人：刘长春 liucc@jlu.edu.cn
报告摘要：
In this report, we study of a taxis-driven intraguild predation model of three species. In the case of dimension is one, without any restrictions on initial data and $\chi$, we present the system (*) possesses a global classical solution which is uniformly bounded. As the dimension is greater than or equal to two, for any choice of initial data, we prove that the system (*) admits a global bounded classical solution if $\chi$ is small. Moreover, it is asserted that the considered system will approach spatially homogeneous distributions in the large time limit. Finally, we analyze the stability of the system (*), and give some numerical simulations to support the theoretical results.
报告人简介：
任国强，华中科技大学数学与统计学院教授，硕士生导师，理学博士，有博士后经历，已主持中国博士后特别资助项目和中国博士后面上项目，国家自然科学基金青年项目，参与国家自然科学基金重点项目以及国家自然科学基金面上项目各一项。在Mathematical Models and Methods in Applied Sciences，Journal of Differential Equations，Calculus of Variations Partial Differential Equations，Discrete Continuous Dynamical Systems-A等杂志上发表论文二十余篇。
