| 具有阶段结构的三次捕食者—食饵系统的稳定性 |
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| 引用本文： | 曹怀火. 具有阶段结构的三次捕食者—食饵系统的稳定性[J]. 池州师专学报, 2008, 0(3): 1-5 |
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| 作者姓名： | 曹怀火 |
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| 作者单位： | [1]西北师范大学数学与信息科学学院,甘肃兰州730070; [2]池州学院数学与计算机科学系安徽池州247000,安徽池州247000 |
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| 摘 要： | 本文主要考虑一类具有阶段结构的三次捕食者-食饵模型的方程组正解的动力学性态，证明了解的有界性。并利用线性化方法和Lyapunov函数讨论其非负平衡点的局部稳定性与全局稳定性。
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| 关 键 词： | 阶段结构 三次捕食者-食饵系统 平衡点 稳定性 |
Stability in a Cubic Predator-Prey System with Stage-Structure |
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| Cao Huaihuo. Stability in a Cubic Predator-Prey System with Stage-Structure[J]. Journal of Chizhou Teachers College, 2008, 0(3): 1-5 |
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| Authors: | Cao Huaihuo |
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| Affiliation: | Cao Huaihuo (1. College of Mathematics and Information Science ,Northwest Normal Universitty,Lanzhou,Gansu 730070;2. Department of Mathematics and Computer Scienee,Chizhou College, Chizhou,Anhui 247000) |
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| Abstract: | This paper deals with the behavior of positive solution to a cubic predator-prey model with stage-structure,and the solution of this system is bounded. The local stability and global stability of the nonnegative equilibrium point is investigated by hnearization and Lyapunov function. |
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| Keywords: | Stage-structure Cubic Predator-Prey System Equilibrium Point Stability |
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