摘要
本文研究了一个广义Kolmogorov系统。这个系统包含了Gause型模型(Kuang和Freeman,1988),广义捕食者-被食者系统(Huang,1988,Huang和Merrill,1989)和其他许多系统(Liu和Zhao,2000,Zheng等,2001,Yang和Liang,2001)为其特例。有关该系统存在极限环的条件以及极限环唯一的条件在本文中已经证明。文献中的许多结果都可容易地作为本文定理的特例而导出。
A general Kolmogorov system, which includes the Gause ~ type model (Kuang and Freeman, 1988), the general predator-prey model (Huang, 1988; Huang and Merrill, 1989), and many others (Liu and Zhao, 2000; Zheng et al. , 2001; Yang and Liang, 2001), is studied in this paper. The conditions for the existence and uniqueness of limit cycles in this model are proved. And some known results are easily derived as an illustration of our work.
出处
《扬州职业大学学报》
2004年第1期20-32,共13页
Journal of Yangzhou Polytechnic College
