研究一类三物种的捕食.食饵模型,两捕食者竞争同一种食饵,其功能反应函数分别为HolingⅡ型和Beddington—DeAngelis型.在一维情况下,主要利用局部分歧理论和度理论得出在(d2^(j),U)处可以产生分歧,同时利用全局分歧理论得出局部分歧可延拓成整体分歧,且连通分支Гj确白无穷.
A predator-prey system between three species is discussed. Two predators with Holling II functional response and Beddington-DeAngelis functional response compete for the common prey. In a one dimensional case, the bifurcation at the point(d2^(j),U)are studied through the local bifurcation theorem and the degree theo- rem. At the same time, by means of global bifurcation theorem, it is proved that the local bifurcation can be extended to global bifurcation and the continuum loins un with infinity.