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中文摘要：
该文研究了一类被捕食者带有第三边值的捕食模型．首先获得了它存在正稳态解的充要条件是a〉mb＋d1λ1；然后研究了它的正稳态解的局部稳定性和唯一性；最后讨论了充分大的扩散参数对它的正稳态解的存在性的影响．
英文摘要：
This paper deals with a prey-predator model with the third boundary value to the prey. First, the authors obtain that the model has positive stationary solutions if and only if a 〉mb ＋ d1λ1. Secondly, the authors prove the local stability and uniqueness of its positive stationary solution. Thirdly, the authors study the change of existence of its positive stationary solution when the coefficients of its diffusion terms approach infinity.
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