報告題目： Global dynamics of a three-species Lotka-Volterra food chain model with intraguild predation and taxis mechanisms
報 告 人：金海洋 教授 華南理工大學
報告時間：2023年10月11日 9:30-10:30
報告地點：騰訊會議 ID：380-567-695
或點擊鍊接直接加入會議：https://meeting.tencent.com/dm/ggBNpB31ZGR8
校内聯系人：劉長春 liucc@jlu.edu.cn
報告摘要：In this talk, we study a three species food chain model with intraguild predation and taxis mechanisms (prey-taxis and alarm-taxis) in a bounded domain with smooth boundary. Based on energy estimates, we first establish the existence of global classical solutions with uniform-in-time bound. Moreover, we build the global stabilization of the spatially homogeneous prey-only steady states, semi-coexistence and coexistence steady states under certain conditions on parameters by using the Lyapunov functionals and LaSalle’s invariant principle. With numerical simulations, we further demonstrate that the combination of taxis mechanisms and intraguild predation can produce stationary spatially inhomogeneous patterns, chaotic spatio-temporal patterns and spatial-periodic patterns for the parameters outside the stability regime. We also find from numerical simulations that prey-taxis could destabilize a positive equilibrium in a three-species Lotka-Volterra model with intraguild predation, which in contrast to the well-known results that the attractive prey-taxis serves to enhance the stability of the spatially homogeneous steady state in two species predator-system or three species food chain model without intraguild predation.
報告人簡介：金海洋，華南理工大學教授，博士生導師。主要從事生物趨向性運動相關數學模型的理論分析。近年來先後在SIAM J. Math. Anal., SIAM J. Appl. Math., M3AS, JDE, Nonlinearity, European J. Appl. Math. 等期刊發表SCI論文幾十篇，主持國家自然科學基金項目面上項目和青年基金等項目。
