报告题目：Global dynamics and pattern formation in a diffusive population-toxicant model with negative toxicant-taxis

报 告 人：黄启华 教授 (西南大学)

报告时间：2023年12月20日（星期三）上午9:00-10:00

报告地点：线上报告     腾讯会议ID：940-313-000

校内联系人：曹杨 教授   联系电话：84708351-8309

报告摘要： Because of the significance of remediating contaminated ecosystems, many mathematical models have been developed to describe the interactions between populations and toxicants in polluted aquatic environments. These models typically neglect the consequences of toxicant-induced behavioral changes on population dynamics. Taking into account that individuals may flee from areas with high toxicant concentrations to areas with low toxicant concentrations in order to improve their chances of survival, growth, and reproduction, we develop a diffusive population-toxicant model with toxicant-taxis. We establish the global well-posedness of our model and prove the global stability of spatially homogeneous toxicant-only steady state and population-toxicant coexistence steady states under some conditions. We find conditions under which stable spatially inhomogeneous steady states become unstable to trigger spatial pattern formations as the toxicant-taxis is strong. We also identify a narrow parameter regime in which toxicant-only and population-toxicant coexistence steady states are bistable. Numerical simulations are performed to illustrate that spatial aggregation and segregation patterns between the population and the toxicant will typically emerge. Our study highlights the important effects of toxicant-induced movement responses on the spatial distributions of populations in polluted aquatic environments.

报告人简介：黄启华，教授，博导。 2011年8月在美国 University of Louisiana at Lafayette 获得应用数学博士学位。2011年8月至2016年6月在加拿大 University of Alberta 生物数学中心从事博士后研究工作，合作导师为 Mark Lewis 教授 (加拿大皇家科学院院士)。2016年6月通过西南大学 “聚贤工程” 人才引进计划被特别评聘为教授。主要研究方向为生物数学、偏微分方程和数值分析。科研成果主要发表在应用数学、生物数学和理论生态学等领域的期刊 SIAM Journal on Applied Mathematics，SIAM Journal on Applied Dynamical Systems, Theoretical Ecology，Journal of Mathematical Biolog, Bulletin of Mathematical Biology, Mathematical Biosciences， Journal of Theoretical Biology 等，其中2017年和2022年发表在 SIAM J. Appl. Math. 上的论文先后在美国工业与应用数学学会的官方网站 SIAM News 上被报道。先后主持国家自然科学基金面上项目两项、重庆市留学人员回国创新支持计划重点项目一项。现任 Mathematical Biosciences 编委。