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中文摘要：
利用谱分析和分歧理论的方法，讨论了一类带非单调功能函数的2物种间的捕食-食饵模型在Robin边界条件下的共存态问题．以C为分歧参数，讨论了发自半平凡解的局部分支解的存在性，并将局部分支延拓为整体分支；同时利用线性特征值扰动理论，判定了局部分支解的稳定性．
英文摘要：
By means of spectral analysis and bifurcation theory, the coexistence state of the predator-prey model between two species with non-monotonic functional response under Robin boundary condition is investigated. The existence of the local bifurcation solutions from semi-trivial solutions to this system is obtained through the use of c as a bifurcation parametersand the local bifurcation can be extended to global bifurcation. Moreover, the stability of the local bifurcation solutions is presented based on the methods of linear eigenvalue perturbation theory.
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