关键词: 种群 ,  ,  , 食物链 ,  ,  , 混沌 ,  ,  , 分岔 ,  , 吸引子

Abstract: Chaos is an important research direction in ecology and the number of species in a chaotic state has complex movements in strange attractor. The three species ratio dependent food chain model with Holling Ⅱ functional response was established. The boundedness of species was obtained by differential inequality. The quantitative analysis of the three species food chain model was investigated by numerical simulations and the existence of chaotic dynamic was studied by the bifurcation diagrams. The strange attractor was obtained for suitable choice of parametric values and is existence via double periods. The appearance of chaos in this model suggests that chaotic dynamics may be common in natural food webs.

Key words: Species  ,  , Food chain  ,  Chaos,  , Bifurcation ,  , Attractor