报告主题：鱼类种群捕捞的阶段结构模型
报告人：袁沅 教授 （Memorial University of Newfoundland）
报告时间：2018年 5月25日（周五）10:30
报告地点：校本部G507
邀请人：傅新楚
主办部门：太阳成集团tyc33455数学系
报告摘要：In this talk, we propose a mathematical model for a single species fish stock with three stages 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 for the model; obtain the local and global stability of the trivial equilibrium; and discuss the population persistence and existence of a unique positive equilibrium. 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.
Research interests: Nonlinear dynamical system, stability and bifurcation analysis, Delay differential equations, applications in neural networks, mathematical biology/ecology and aeroelastical system, Symbolic and numerical computation methods for differential equations.
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