Global solvability and stability of an alarm-taxis system
报告专家：金海洋教授（华南理工大学）
报告时间：2024年1月5日：16:10 — 17:10
报告地点：腾讯会议：953-402-186
报告摘要：This talk is concerned with the global boundedness and stability of classical solutions to an alarm-taxis system describing the burglar alarm hypothesis as an important mechanism of antipredation behavior when prey species are threatened by predators. Compared to the existing prey-taxis systems, the alarm-taxis system has more complicated coupling structure and additionally requires the gradient estimate of the primary predator density to attain the global boundedness of solutions. By the sophisticated coupling energy estimates based on the Neumann semigroup smoothing properties, we establish the existence of globally bounded solutions in two dimensions with Neumann boundary conditions and furthermore prove the global stability of coexistence homogeneous steady states under certain conditions on the system parameters.
专家简介：金海洋，华南理工大学教授，博士生导师。主要从事生物趋向性运动相关数学模型的理论分析。近年来先后在SIAM J. Math. Anal., SIAM J. Appl. Math., M3AS, JDE, Nonlinearity, European J. Appl. Math. 等期刊发表SCI论文几十篇，主持国家自然科学基金项目面上项目和青年基金等项目。
邀请人：何躏
