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Global attractivity of the diffusive Nicholson blowflies equation with Neumann boundary condition: A non-monotone case. (English) Zbl 1152.35511
Summary: We establish the global attractivity of the positive steady state of the diffusive Nicholson 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.
35R10Partial functional-differential equations
35B35Stability of solutions of PDE
35B40Asymptotic behavior of solutions of PDE
35B41Attractors (PDE)
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