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中文摘要：
研究了一类具有Crowley-Martin反应函数的食物链模型。首先利用全局分歧理论和度理论讨论了正解的存在性和多重性,得到了正解分歧的基本形状。接着运用扰动理论给出了正解的唯一性和稳定性条件,结果表明当d充分大时系统在一定条件下存在唯一且稳定的正解。
英文摘要：
A food-chain system with Crowley-Martin functional response is studied.By making use of the global bifurcation theory and degree theory,the existence and multiplicity of positive solutions are discussed and the basic shape of bifurcation curve of positive solutions is obtained.Moreover,the conditions of the uniqueness and stability of positive solutions are given by means of perturbation theory.It turns out that there exists a unique asymptotically stable positive solution under certain conditions when d is sufficiently large.
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