We report on known results on the geometry of the limiting solutions of a reaction-diffusion system in any number of competing species k as the competition rate m tends to infinity. The case k=8 is studied in detail. We provide numerical simulations of solutions of the system for k=4,6,8 and large competition rate. Thanks to FreeFEM++ software, we obtain nodal partitions showing the predicted limiting configurations.
Geometry of the limiting solution of a strongly competing system / Lanzara, Flavia; Montefusco, Eugenio. - In: LECTURE NOTES OF TICMI. - ISSN 1512-0511. - 21:(2020), pp. 53-65.
Geometry of the limiting solution of a strongly competing system
Flavia Lanzara;Eugenio Montefusco
2020
Abstract
We report on known results on the geometry of the limiting solutions of a reaction-diffusion system in any number of competing species k as the competition rate m tends to infinity. The case k=8 is studied in detail. We provide numerical simulations of solutions of the system for k=4,6,8 and large competition rate. Thanks to FreeFEM++ software, we obtain nodal partitions showing the predicted limiting configurations.File allegati a questo prodotto
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