食铒种群具有密度制约的一类厌食系统

An Anorexia System of Predatory with Density Dependence

讨论了食铒种群具有密度制约项的一类厌食系统［２］，给出了其所有可能的拓朴相图，并分析了其正平衡点的Ｈｏｐｆ 分支，此系统的正平衡点可以成为稳定的二阶细焦点，也可以成为不稳定的二阶细焦点，所以第一象限有至少存在三个极限环的可能．

An anorexia system(2) of predatory with density dependence is discussed in this peper. We gived all topological structures of this system, and analysed the Hopf bifurcation of the positive equilibrium point,This point may become two degree stable or unstable fine focus. So there may exist at least three limit cycles in first quadrant.