非自治多种群时滞Kolmogorov系统的持续性和灭绝性  

Persistence and Extinction in Nonautonomous Multi-species Kolmogorov System with Delay

作　　者：赵建东[1] 付丽萍[2] 程荣福[3] 

机构地区：[1]鲁东大学数学与信息学院,山东烟台264025 [2]鲁东大学图书馆,山东烟台264025 [3]北华大学数学学院,吉林吉林132013

出　　处：《数学的实践与认识》2009年第15期122-127,共6页Mathematics in Practice and Theory

基　　金：鲁东大学创新团队建设项目(08-CXB005)

摘　　要：研究非自治多种群时滞Kolmogorov系统,给出了该系统中种群持续和灭绝的充分条件,并把得到的结果应用于非自治时滞Lotka-Volterra系统.把相关文献的有关结果推广到时滞系统.A nonautonomous multi-species Kolmogorov system with delay is considered in this paper. Sufficient conditions are given for persistence and extinction of species in this system, and our results are applied to nonantonomous Lotka-Volterra systems with delay. It is shown that the results of R. Redheffer[-J. Math. Biol,2000,40,295-3203 are generalized to the delay systems.

关 键 词：非自治Kolmogorov系统 时滞 非自治Lotka—Volterra系统 持续性 灭绝性 

分 类 号：O175.1[理学—数学]