中文摘要：

在齐次Dirichlet边界条件下，研究了一类捕食-食饵模型。证明了局部分歧解的存在性；将局部分歧延拓为整体分歧，刻画出分歧解随参数的整体走向，并且讨论了局部分歧解的稳定性；通过数值模拟分析验证了理论分析的结果。

英文摘要：

The predator-prey model is investigated under homogeneous Dirichlet boundary tions. Firstly, the existence of the local bifurcation solutions is proved. Secondly, the local cation can be extended to global bifurcation and the jumps of the bifurcation solutions are lished, meanwhile, the stability of the local bifurcation solutions are discussed. Finally, numerical simulations are shown to support the analytical results. condi- bifur- estab- some