Time periodic solutions of the diffusive Nicholson blowflies equation with delay |
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Affiliation: | 1. Department of Mathematics, University of Chester, CH1 4BJ Chester, UK;2. CEMAT, Instituto Superior Técnico, University of Lisbon, 1049-001 Lisboa, Portugal |
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Abstract: | This paper is concerned with the Nicholson blowflies equation with nonlinear diffusion and time delay subject to the homogeneous Dirichlet boundary condition in a bounded domain. We establish the existence of nontrivial periodic solutions of the time-periodic problem under general conditions by constructing a coupled upper–lower solution pair and by applying the Schauder fixed point theorem. The attractivity of the periodic solutions is also discussed by using the monotone iteration method. |
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Keywords: | Nonlinear diffusion equation Periodic solution Time delay Attractivity |
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