首页   系科介绍   师资队伍   科研团队   本科生教学   研究生培养   招聘信息   联系我们

Previous Next
 
首页 >> 学术报告

Bifurcation Analysis in a Predator-prey Model with Constant-yield Predator Harvesting

黄继才 教授(华中师范大学)
2015-11-23 14:00   闵行校区数学楼126会议室
 
报告内容简介::In this talk, we will introduce the effect of constant-yield predator harvesting on the dynamics of a Leslie-Gower type predator-prey model. Multiple bifurcations, including Bogdanov-Takens bifurcations of codimension 3 and degenerate Hopf bifurcation etc., are shown as the values of parameters vary. Numerical simulations, including the repelling and attracting Bogdanov-Takens bifurcation diagrams and corresponding phase portraits, the coexistence of a stable homoclinic loop and an unstable limit cycle, and two limit cycles, are presented to support the theoretical analysis. These results reveal far richer and much more complex dynamics compared to the model without harvesting or with only constant- yield prey harvesting, and the dynamical behavior of the model is very sensitive to the constant-yield predator harvesting and the initial densities of both species and it requires careful management in the applied conservation and renewable resource contexts.

主持人:毕 平 副教授
   
 
 
快捷链接 >>
 
系内资源 >>
 
教学园地 >>
 
  校外链接 >>    华师大-纽约大学联合数学研究中心    上海市数学会    中国数学会    美国数学会    欧洲数学会  
         
       Copyright 2012 All rights reserved    Department of Mathematics, East China Normal University    Tel: 86-21-54342609