Abstract: A class of Holling-Tanner prey-predator diffusion model is investigated under the homogeneous Newmann boundary condition. The paper discusses the global stability of the unique positive equilibrium of this model by the comparison principle and the monotone iteration scheme.

Key words: prey-predator model, positive equilibrium, global stability

摘要： 研究了一类具有扩散项的Holling-Tanner捕食食饵模型，讨论了该模型在齐次Newmann边界条件下正常数平衡解的全局稳定性；并利用比较原理构造上下解的方法，得到了正常数平衡态解全局渐近稳定的条件。

关键词: 捕食食饵模型, 常数平衡态, 全局稳定性