学术报告

报告题目：A stage-structured mathematical model for fish stock with harvesting

报告人：袁沅 教授（加拿⼤纽芬兰纪念⼤学）

负责人：张天然 教授

报告时间：2024年06月22日（星期六）上午10: 00-11: 00

报告地点：数学大楼912报告厅

参加人员：教师、研究生、本科生

摘要：In this talk, we propose a mathematical model for a single species fish stock with a three-stage structure: Juveniles, small adults, and large adults with two harvesting strategies for mature classes, maturity, and size selectivities. The purpose of the work is to investigate the dynamical behavior of the model and discuss the effect of harvesting. We identify the adult reproduction number R_A for the model; obtain the local and global stability of the trivial equilibrium when R_A < 1; and discuss the population persistence and existence of a unique positive equilibrium when R_A > 1. Numerical simulations are provided to investigate the influence of harvesting functions, discuss the optimal harvesting rates, and explore the effect of periodic coefficients on the dynamical system.

个人简介：袁沅，加拿⼤纽芬兰纪念⼤学数学与统计系终⾝正教授、博⼠⽣导师。主要研究⽅向包括⾮线性动⼒系统的稳定性及分⽀分析、时滞微分⽅程及其在⽣物/⽣态数学，传染病传播与控制，神经⽹络等的应⽤、微分⽅程的符号及数值计算⽅法。在SIAM Journal on Applied Mathematics, Journal of Mathematical Biology,  Journal of Differential Equations, Nonlinear Analysis: Real World Applications, SIAM Journal on Applied Dynamical Systems 等主要应⽤数学及⽣物数学杂志发表论⽂六⼗多篇。