Bifurcations in a human migration model of Scheurle-Seydel type-II: Rotating waves |
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Authors: | Sándor Kovács |
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Institution: | 1. Department of Numerical Analysis, E?tv?s L. University, P. O. Box 32, H-1518, Budapest, Hungary
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Abstract: | This paper treats the conditions for the existence of rotating wave solutions of a system modelling the behavior of students in graduate programs at neighbouring universities near each other which is a modified form of the model proposed by Scheurle and Seydel. We assume that both types of individuals are continuously distributed throughout a bounded two-dimension spatial domain of two types (circle and annulus), across whose boundaries there is no migration, and which simultaneously undergo simple (Fickian) diffusion. We will show that at a critical value of a system-parameter bifurcation takes place: a rotating wave solution arises. |
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