Please use this identifier to cite or link to this item: http://hdl.handle.net/10077/30917
Title: A collocation-spectral method to solve the bi-dimensional degenerate diffusive logistic equation with spatial heterogeneities in circular domain
Authors: Molina-Meyer, Marcela
Prieto Medina, Frank Richard
Keywords: Heterogeneous logistic equationunequal distribution of resourcesspectral methodscollocation methodsnumerical simulation of large solutions and metasolutions
Issue Date: 2020
Publisher: EUT Edizioni Università di Trieste
Source: Marcela Molina-Meyer and Frank Richard Prieto Medina, "A collocation-spectral method to solve the bi-dimensional degenerate diffusive logistic equation with spatial heterogeneities in circular domains" in: "Rendiconti dell’Istituto di matematica dell’Università di Trieste: an International Journal of Mathematics vol. 52 (2020)", EUT Edizioni Università di Trieste, Trieste, 2020
Journal: Rendiconti dell’Istituto di matematica dell’Università di Trieste: an International Journal of Mathematics 
Abstract: 
In this paper we simulate positive solutions, large solutions and metasolutions of the heterogeneous logistic equation in a disk and an annulus. The numerical methods introduced in this paper are extremely innovative because they make unnecessary determining any previous lifting and solving any decoupled system of ordinary differential equations. Moreover, they can be used to solve non-radially symmetric problems. The models are of a huge interest in Spatial Ecology because they enable us to analyse the effects of the spatial heterogeneity on the evolution of the terrestrial ecosystems. The large solutions and the metasolutions have been computed by the first time in this paper.
Type: Article
URI: http://hdl.handle.net/10077/30917
ISSN: 0049-4704
eISSN: 2464-8728
DOI: 10.13137/2464-8728/30917
Rights: Attribution-NonCommercial-NoDerivatives 4.0 Internazionale
Appears in Collections:Rendiconti dell’Istituto di Matematica dell’Università di Trieste: an International Journal of Mathematics vol.52 (2020), 1st and 2nd Issue

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