Global attractivity of the diffusive Nicholson blowflies equation with Neumann boundary condition: A non-monotone case |
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| Authors: | Taishan Yi |
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| Institution: | a College of Mathematics and Econometrics, Hunan University, Changsha, Hunan 410082, PR China
b Department of Applied Mathematics, University of Western Ontario, London, N6A 5B7, Canada |
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| Abstract: | 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. |
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| Keywords: | 34D05 34K25 35B35 35B40 |
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