International Journal of Mathematics and Mathematical Sciences
Volume 2004 (2004), Issue 41-44, Pages 2307-2323
doi:10.1155/S016117120430133X
Sufficient and necessary condition for the permanence of periodic predator-prey system
Jingan Cui1
and Xinyu Song2
1Department of Mathematics, Nanjing Normal University, Nanjing 210097, China
2Department of Mathematics, Xinyang Teachers College, Henan, Xinyang 464000, China
Abstract
We consider the permanence of a periodic predator-prey system, where the prey disperse in a two-patch environment. We assume the Volterra within-patch dynamics and provide a sufficient and necessary condition to guarantee the predator and prey species to be permanent by using the techniques of inequality analysis. Our work improves previous relevant results.