| 具有存放的功能性反应捕食与被捕食系统的动力性态 |
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| 引用本文： | 梁娟,刘双.具有存放的功能性反应捕食与被捕食系统的动力性态[J].重庆工商大学学报(自然科学版),2012,29(10):1-5. |
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| 作者姓名： | 梁娟 刘双 |
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| 作者单位： | 重庆大学数学与统计学院,重庆,401331 |
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| 摘 要： | 研究一类被捕食者(食饵)种群具有常数存放率的Holling—Ⅲ类功能性反应捕食与被捕食系统的定性性质,当该系统具有存放率时,分析了系统非负平衡点及其稳定性.利用计算第一系数的方法,研究了弱中心附近的超临界Hopf分岔与跨临界Hopf分岔.
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| 关 键 词： | Holling—Ⅲ型 平衡点 Hopf分支 极限环 |
Dynamics of Predator-prey System with Functional Response and with Constant Rate Stocking |
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| LIANG Juan,LIU Shuang.Dynamics of Predator-prey System with Functional Response and with Constant Rate Stocking[J].Journal of Chongqing Technology and Business University:Natural Science Edition,2012,29(10):1-5. |
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| Authors: | LIANG Juan LIU Shuang |
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| Institution: | (School of Mathematics and Statistics,Chongqing University,Chongqing 401331,China) |
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| Abstract: | This paper studies qualitative properties of predator-prey system with Holling-III Model functional response of a type of prey species with constant stocking rate, analyzes the nonnegative balance point and its stability of this system when this system has stocking rate and uses the method for calculating the first coefficient to study supercritical Hopf bifurcation and transcritical Hopf bifurcation near weak center. |
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| Keywords: | Holling-Ⅲ Model balance point Hopf bifurcation limit cycle |
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