ANZIAM  J.  44 (2003), 569-581
Global attractivity of the periodic Kolmogorov system

Xianzhang Wen
  Department of Mathematics
  Hunan Normal University
  410081 Changsha
  P. R. China 
Zhicheng Wang
  Department of Applied Mathematics
  Hunan University
  410082 Changsha
  P. R. China

We study a periodic Kolmogorov model with $m$ predators and $n$ prey. By means of the comparison theorem and a Liapunov function, a set of easily verifiable sufficient conditions that guarantee the existence, uniqueness and global attractivity of the positive periodic solution is obtained. Finally, some suitable applications are given to illustrate that the conditions of the main theorem are feasible.
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