Global attractivity of the diffusive Nicholson blowflies equation with Neumann boundary condition: A non-monotone case☆
Global attractivity of the diffusive Nicholson blowflies equation with Neumann boundary condition: A non-monotone case☆
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DOI：
10.1016/j.jde.2008.03.007
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发表时间：
2008-12
影响因子：
2.4
通讯作者：
Taishan Yi;X. Zou
中科院分区：
文献类型：
--
作者：
Taishan Yi;X. Zou
本文建立了具有齐次Neumann边值的扩散型Nicholson方程在非单调动力系统条件下正稳态的全局吸引性。为了达到这一目的，我们提出了一种新的方法：将动力系统论证与极大值原理和一些微妙的不等式相结合。
In this paper, we establish the global attractivity of the positive steady state of the diffusive Nicholson's equation with homogeneous Neumann boundary value under a condition that makes the equation a non-monotone dynamical system. To achieve this, we develop a novel method: combining a dynamical systems argument with maximum principle and some subtle inequalities.