中文摘要：

研究了一类带有HollingⅢ型功能反应的竞争模型．首先通过计算不动点指标得到了正解存在的充分条件．其次运用线性算子扰动理论以及标准的椭圆方程正则性理论研究了正解的唯一性和全局稳定性．然后应用全局分歧理论和度理论考察了正解的多重性．最后用数值模拟对所得理论结果进行了验证．研究结果表明参数满足一定条件，该模型存在多重解和全局吸引的唯一解．

英文摘要：

A competition calculating the fixed point model with Holling type Ⅲ fu index, the sufficient conditions nctional response is of the existence of studied. Firstly, by positive solutions are ,ry and standard elliptic equations ive solutions are investigated. In ombination of the global bifurcation ed are verified by the rely one unique globally numerical attractive solution for a suitable range of parameters.