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Bifurcations in a human migration model of Scheurle-Seydel type-II: Rotating waves

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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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Authors and Affiliations

  1. Department of Numerical Analysis, Eötvös L. University, P. O. Box 32, H-1518, Budapest, Hungary

    Sándor Kovács

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  1. Sándor Kovács
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Correspondence to Sándor Kovács.

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Sándor Kovács began his studies at the Loránd Eötvös University (Bundapest) in 1988 and changed this for Ph. D course under the direction of Miklós Farkas in 1996. Since 1999 he theaches at the same university (Department of Numerical Analysis) and is a consultant at the Budapest University of Technology (Department of Differential Equations). His research interests focus on the bifurcation phenomena in biological systems and related topics.

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Kovács, S. Bifurcations in a human migration model of Scheurle-Seydel type-II: Rotating waves. JAMC 16, 69–78 (2004). https://doi.org/10.1007/BF02936151

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  • DOI: https://doi.org/10.1007/BF02936151

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