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具毒素影响的两种群离散竞争模型的绝灭性
引用本文:张杰华.具毒素影响的两种群离散竞争模型的绝灭性[J].延边大学理工学报,2018,0(3):208-212.
作者姓名:张杰华
作者单位:( 阳光学院 基础教研部, 福建 福州 350015 )
摘    要:研究了双方具有毒素作用和非线性相互抑制项的非自治两种群浮游生物竞争模型.通过构造适当的绝灭函数,得到了保证系统中某个种群绝灭而另外一个种群全局吸引的充分性条件.本文所得结果补充了文献2]和11]的研究结果.

关 键 词:离散  竞争  毒素  绝灭  稳定性

Extinction of a two species discrete competitive system with the effects of toxic substances
ZHANG Jiehua.Extinction of a two species discrete competitive system with the effects of toxic substances[J].Journal of Yanbian University (Natural Science),2018,0(3):208-212.
Authors:ZHANG Jiehua
Affiliation:( Department of Basic Teaching and Research, Yango University, Fuzhou 350015, China )
Abstract:A two species discrete non-autonomous competitive phytoplankton system with nonlinear inter-inhibition terms and toxin producing species is studied in this paper. By constructing some suitable Lyapunov type extinction functions, sufficient conditions which guarantee the extinction of a species and the global attractivity of the other one are obtained. Our results supplement the conclusion in the literature 2] and 11].
Keywords:discrete  competitive  toxicology  extinction  stability
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