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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) |
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.
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