具有时滞的两种群非线性竞争系统的灭绝性  

Extinction in Two Species Nonlinear Competitive System with Time Delays

作　　者：王丽丽[1] WANG Li-li(College of Business,Shanxi University,Taiyuan 030031,China)

机构地区：[1]山西大学商务学院

出　　处：《中北大学学报（自然科学版）》2020年第1期8-10,23,共4页Journal of North University of China(Natural Science Edition)

基　　金：山西大学商务学院基金资助项目（2017035)

摘　　要：研究了一类具有时滞的两种群非线性竞争系统,得到了第二个种群灭绝的充分条件.该结论推广并改进了相关文献的结果.由微分方程比较定理和一些分析技巧,通过一系列引理最终获得第二个种群灭绝性的证明.A two species nonlinear competitive system was studied.Sufficient conditions were derived for the extinction of the second species of system.The results generalize and improve the conclusion of related references.By comparison theorem for differential equations and some analysis,a series of lemmas were finally used to obtain a proof of the extinction of the second population.

关 键 词：时滞 非线性 灭绝性 竞争 非自治 

分 类 号：O175.14[理学—数学]