安徽大学学报（自然科学版）2012，Vol.36Issue(1)：26-32,7.
具有时滞的食饵-捕食者模型的分支分析
Bifurcation analysis in a delayed predator-prey model
摘要
Abstract
In this paper, a delayed predator-prey model with ratio-dependent type functional response was considered.Its dynamics were studied in terms of local analysis and Hopf bifurcation analysis.By analyzing the associated characteristic transcendental equation,its linear stability was investigated and Hopf bifurcation was demonstrated.The length of delay which preserves the stability of the positive equilibrium was calculated. Some numerical simulations for justifying the analytical findings were also provided.Finally,main conclusions were given.关键词
食饵-捕食者模型/时滞/稳定性/Hopf分支/周期解Key words
predator-prey model/time delay/stability/Hopf bifurcation/periodic solution分类
数理科学引用本文复制引用
徐昌进,陈大学..具有时滞的食饵-捕食者模型的分支分析[J].安徽大学学报（自然科学版）,2012,36(1):26-32,7.基金项目
Supported by National Natural Science Foundation of China(10771215) （10771215）
Scientific Research Fund of Hunan Provincial Education Department (10C0560) （10C0560）
Science and Technology Program of Hunan Province (2010FJ6021) （2010FJ6021）
Scientific Research Initializing Foundation of Hunan Institute of Engineering(0744) （0744）
