PREY-PREDATOR MODEL WITH RANDOM MATING FOR PREY
随机配对的食饵-捕食者模型

In this article a prey-predator model with sex structure in the prey population is proposed, where random mating, without the formation of permanent male-female couples, is prevailing. By mathematical analysis it is shown that predation without sex bias can't alter the sex ratio of the prey and sex-biased predation can do, that sex-biased predation can always eliminate periodic oscillation behavior when the birth rates of female and male prey are equal, that large sex-biased predation rate can always eliminate oscillation behavior when the birth rates of female and male prey are not equal, and that the elimination of oscillation is determined by the sex-biased rate and the ratio of birth rates of male and female prey.