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一类具有功能反应的捕食者-食饵动力系统研究

Study on a kind of predator-prey power system with functional reaction
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摘要 讨论一类具有功能反应和非线性密度制约的捕食者-食饵扩散模型解的整体性态。通过线性化方法和Lyapunov泛函方法分别证明了该模型正平衡点的局部渐近稳定性和全局渐近稳定性。 The integral behavior of solutions for a kind of predator - prey diffusive model with functional reaction and nonlinear density restrict is discussed in this paper and then, the local asymptotic stability and the global asymptotic stability of the model's positive equilibrium point are proved too through the linearization method and Lyapanov function method respectively.
作者 赵延忠
出处 《青海大学学报(自然科学版)》 2008年第2期45-49,共5页 Journal of Qinghai University(Natural Science)
关键词 功能反应函数 捕食者-食饵模型 稳定性 functional reaction function predater - prey model stability
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