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A periodicity result for a nonlinear functional integral equation |
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| Authors: | Ovide Arino Abdessamad Mortabit |
| Institution: | (1) Department de Mathematiques, Universite de Pau et des Pays de l'Adour, Avenue Philippon, F-640000 Pau, France;(2) Mathematics Department, University of Mississippi, MS38677 Oxford, USA;(3) Present address: St. Andrews Presbyterian College, Laurinburg, North Carolina, USA |
| Abstract: | In this paper, we study the effect of introducing a delay in a model of cell proliferation considered originally by O. Arino and M. Kimmel (J. Math. Biol. 27, 341–354 (1989)). We prove that slow oscillations take place and periodic oscillations appear for appropriate values of a parameter. |
| Keywords: | Cell proliferation Integro-difference equation with delay Slow oscillations Periodicity Ejective fixed point |
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