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
出处
《数学的实践与认识》
CSCD
北大核心
2012年第18期117-125,共9页
Mathematics in Practice and Theory
关键词
捕获
毒素
竞争
全局稳定性
harvesting
toxic substance
competition
global stability
