| 具有毒素和捕获作用的两种群竞争系统的稳定性分析 |
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| 引用本文： | 张娜,谢斌锋,苏倩倩,陈凤德.具有毒素和捕获作用的两种群竞争系统的稳定性分析[J].数学的实践与认识,2012,42(18). |
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| 作者姓名： | 张娜 谢斌锋 苏倩倩 陈凤德 |
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| 作者单位： | 1. 江西理工大学理学院,赣州江西,341000
2. 福州大学数学与计算机科学学院,福州福建,350108 |
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| 摘 要： | 研究一类两种群无差别捕获的具有毒素作用的竞争系统.首先得到了系统存在唯一正平衡点的充分性条件;其次,通过构造适当的Lyapunov函数得到了保证该系统边界平衡点全局稳定的充分性条件;最后,在前人的基础之上得到了系统正平衡点全局渐近稳定的充分性条件,所得结果补充和完善了T.K.Kar和K.S.Chaudhuri的相应结果.
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| 关 键 词： | 捕获 毒素 竞争 全局稳定性 |
Stability Analysis of the Equilibrium of a Two-Species Competitive System with Toxic Sbustance and Non-Selective Harvesting |
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| ZHANG Na
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XIE Bin-feng
,
SU Qian-qian
,
CHEN Feng-de.Stability Analysis of the Equilibrium of a Two-Species Competitive System with Toxic Sbustance and Non-Selective Harvesting[J].Mathematics in Practice and Theory,2012,42(18). |
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| Authors: | ZHANG Na XIE Bin-feng SU Qian-qian CHEN Feng-de |
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| Abstract: | A two-species competition system with toxic substance and non-selective harvesting is studied.We first obtain a set of sufficient conditions which ensure system admits unique internal equilibrium.Then,by constructing the suitable Lyapunov functions,sufficient conditions which ensure the the global stability of the boundary equilibriums and the internal equilibrium are abtained.The results improves and complements the corresponding results of Kar T K and Chaudhuri K S. |
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| Keywords: | harvesting toxic substance competition global stability |
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