Martin-Luther-Universität Halle-Wittenberg

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Manuela Bank-Zillmann

Telefon: +49 345 55-21004
Telefax: +49 345 55-27404

Universitätsplatz 8/9
06108 Halle

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Baasansuren Jadamba: Study of a mixed dispersal model of population dynamics

Termin Donnerstag, 22. Juni 2017, 16.15 - 18.00 Uhr
Veranstaltungsart Kolloquium
Reihe Kolloquium des Instituts für Mathematik
Einrichtung Naturwissenschaftliche Fakultät II
Veranstalter Institut für Mathematik
Veranstaltungsort Informatikgebäude, Hörsaal 1.04
Straße Von-Seckendorff-Platz 1
PLZ/Ort 06120 Halle (Saale)
Ansprechpartner Prof. Dr. Christiane Tammer
Telefon +49 345-24673
E-Mail christiane.tammer@mathematik.uni-halle.de

Beschreibung

Random dispersal is essentially a local behavior which describes the movement of organisms between adjacent spatial locations. However, movements and interactions of some organisms occur between non-adjacent spatial locations. In this talk, we consider a model of population dynamics with both local and nonlocal dispersals. The model is a combination of a reaction-diffusion equation and an integro-differential equation. First, we investigate how long time dynamics depend on the model parameters. Next, we consider a linear eigenvalue problem corresponding to the mixed dispersal model and study minimization of the positive principal eigenvalue. The minimization problem is motivated by the determination of optimal spatial arrangement of favorable and unfavorable regions for the species to die out more slowly or survive more easily. Numerical results using finite difference and finite element methods are presented and we show various scenarios of optimal favorable regions for the cases of periodic and Dirichlet boundary conditions.

Webseite https://www.rit.edu/science/people/baasansuren-jadamba

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