具有毒素和捕获作用的两种群竞争系统的稳定性分析  

Stability Analysis of the Equilibrium of a Two-Species Competitive System with Toxic Sbustance and Non-Selective Harvesting

作　　者：张娜[1] 谢斌锋[1] 苏倩倩[2] 陈凤德[2] 

机构地区：[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

出　　处：《数学的实践与认识》2012年第18期117-125,共9页Mathematics in Practice and Theory

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.A two-species competition system with toxic substance and non-selective har- vesting is studied. We first obtain a set of sufficient conditions which ensure system admits unique internal equilibrium. Then, by constructing the suitable Lyapunov functions, suffi-cient conditions which ensure the the global stability of the boundary equilibriums and the internal equilibrium are abtained. The results results of Kar T K and Chaudhuri K S. improves and complements the corresponding

关 键 词：捕获 毒素 竞争 全局稳定性 

分 类 号：O175[理学—数学]