Global attractivity of the diffusive Nicholson blowflies equation with Neumann boundary condition : A non-monotone case ✩

@inproceedings{Yi2008GlobalAO,
  title={Global attractivity of the diffusive Nicholson blowflies equation with Neumann boundary condition : A non-monotone case ✩},
  author={Taishan Yi and Xingfu Zou},
  year={2008}
}
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 nonmonotone dynamical system. To achieve this, we develop a novel method: combining a dynamical systems argument with maximum principle and some subtle inequalities. © 2008 Elsevier Inc. All rights reserved. MSC: 34D05; 34K25; 35B35; 35B40 

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