摘要
In this paper we analyze a mathematical model for a two-competing-prey, one-predator system and discuss the effect of predation on the two competing prey. Our basic assumption is that the predator can survive on either of the two competing prey in a one-predator, one-prey subcommunity. Conditions for the coexistence of the two competing prey and the extinction of either prey are completely determined and discussed. The conclusion is that the outcomes depend critically on the prey species' capability of invading the complementary subcommunity formed by predator species and other prey. Our mathematical analysis is rigorous and global. © 1981.