PERSISTENCE OF A THREE INTERACTING PREY-PREDATOR MODEL WITH REFUGES

被引:1
|
作者
Wang Yuquan(Department of Mathematics
机构
关键词
Ecology model; Persistence; Global Stable;
D O I
暂无
中图分类号
Q148 [生态系统生态学];
学科分类号
071012 ; 0713 ;
摘要
The paper considers a kind of ecology models of two predator populations and one common prey population,in which the prey population can choose their own refuges to avoid being preyed by its natural enemy,and the prey species can diffuse between interior and exterior of the refuges.It is proved that the system can be persistent if the carrying capacity of refuges is appropriate small.Further more it is shown that the system can be global stable if the multiplication rate of two predator populations is upper.But if there exists at least one predator population,whose multiplication rate are all lower,the predator population can be extinct in the future.
引用
收藏
页码:17 / 25 +33
页数:10
相关论文
共 5 条
  • [1] The Models and Methods on Mathematical Ecology. Lansun C. . 1990
  • [2] Permanent coexistence in general models of three interacting species[J] . V. Hutson,R. Law. &nbspJournal of Mathematical Biology . 1985 (3)
  • [3] Ordinary Differential Equations. Hale J.K. . 1969
  • [4] Persistence in models of three interacting predator-prey populations. Freedman H.I.and Waltman P. Mathematical Biosciences . 1984
  • [5] Mathermatical Ecology. Pielou E.C. . 1991