报告题目：Dynamics of a diffusion nutrient- phytoplankton-zooplankton model with spatiotemporal delay

报告人：陶亦文副研究员(郑州大学)

报告时间：2024年4月30日下午16:00-17:00

报告地点：复杂所4层会议室

报告人简介：陶亦文，郑州大学副研究员，主持国家自然科学基金一项，省部级人才项目两项，参与国家自然科学基金重点项目一项;第一完成人授权发明专利两项。2019年、2020年公派至美国威廉玛丽学院，加大滑铁卢大学联合培养。在SIAM Journal on Applied Mathematics，Journal of Nonlinear Science, IEEE Transactions on Geoscienceand Remote Sensing, Science of The Total Environment, Journalof Environmental Management，Acta Tropica等重要期刊上发表学术论文

报告摘要：We study a diffusive nutrient-phytoplankton-zooplankton (NPZ) model with spatiotemporal delay. The closed nature of the system allows the formulation of a conservation law of biomass that governs the ecosystem. We advance the understanding of the local stability for equilibrium solutions of the NPZ model byproposing a newlocal stability theorem for generalized three-dimensional systems. Using a specific delaykernel, we perform a qualitative analysis ofthe solutions.including existence, uniqueness, andboundednessofthe solutions, global stability ofthe trivial equilibrium, and Hopfbifurcation ofthe nontrivial equilibrium. Numericalsimulations are also performed to verify and supplement our analyticalresults. We show that diffusion predominantly has a stabilizing effect; however, if sufficient nutrients are present, complex spatiotemporal dynamics may occur.

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