Abstract
We study the permanence and extinction of a generalized Gause-type predator-prey system with periodic coefficients. We provide a sufficient and necessary condition to guarantee the predator and prey species to be permanent and a sufficient condition for the existence of a periodic solution. In addition we prove that when the predator population tends to extinction, the prey population keeps oscillating above a positive population level.
Citation
Jinhuo Luo. "Permanence and Extinction of a Generalized Gause-Type Predator-Prey System with Periodic Coefficients." Abstr. Appl. Anal. 2010 1 - 24, 2010. https://doi.org/10.1155/2010/845606
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