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一类具有时滞和Monod-Haldane功能反应的捕食模型的Hopf分支

Hopf Bifurcation of a Monod-Haldane Predator-Prey Model with Time Delay
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摘要 研究了一类具有时滞和Monod-Haldane功能反应函数的捕食模型,运用泛函微分方程理论,得出了系统正平衡点稳定性和产生Hopf分支的条件.最后数值模拟验证了得到的结论. Hopf bifurcation of a Monod-Haldane predator-prey model with time delay was investigated by using the theory of functional differential equation, the stability of a positive equilibrium and the existence of a Hopf bifurcation were established. Finally, numerical simulations were carried out to illustrate these conclusions.
出处 《伊犁师范学院学报(自然科学版)》 2013年第2期22-25,共4页 Journal of Yili Normal University:Natural Science Edition
基金 江苏城市职业学院"十二五"规划课题(12SEW-Q-098)资助
关键词 时滞 功能反应函数 HOPF分支 time delay functional response Hopf bifurcation
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