报告人：袁沅教授 纽芬兰纪念大学

时间：2024.5.28下午 2：30-3：30

地点：管理楼1418

题目：A STAGE-STRUCTURED MATHEMATICAL MODEL FOR FISH STOCK WITH HARVESTING

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.