2026-06-29T15:05:51Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/1059482024-07-12T00:09:37Zcom_20.500.14352_14col_20.500.14352_15

Coupled versus uncoupled blow-up rates in cooperative n-species Logistic Systems López Gómez, Julián Maire, Luis Cooperative Systems Large Solutions Blow-Up Rates on the Boundary Variable Rates Uniqueness of Large Solutions Ecuaciones diferenciales 1206.02 Ecuaciones Diferenciales This paper ascertains the exact boundary blow-up rates of the large positive solutions of a class of cooperative logistic systems involving n species in a general domain of ℝN of class C 2+ν, 0 < ν < 1. The problem models a population divided in groups whose individuals compete with those of the same group, while simultaneously they cooperate with the members of the remaining groups. Our main result provides with the exact blow-up rates along the edges of Ω from the values of the blow-up rates of the underlying uncoupled system. Rather astonishingly, these blow-up rates are independent of the strength of the cooperative effects, which play a secondary role in the analysis carried out in this paper. No previous result of this nature is available in the specialized literature for more than n = 2 species. Depto. de Análisis Matemático y Matemática Aplicada Fac. de Ciencias Matemáticas Instituto de Matemática Interdisciplinar (IMI) TRUE pub 2024-07-11T09:33:44Z 2024-07-11T09:33:44Z 2017-01-26 journal article AM https://hdl.handle.net/20.500.14352/105948 1536-1365 2169-0375 10.1515/ans-2016-6018 eng Lopez-Gomez, J., & Maire, L. Coupled versus uncoupled blow-up rates in cooperative n-species logistic systems. Advanced Nonlinear Studies, 2017; 17(3): 411-428. Attribution 4.0 International http://creativecommons.org/licenses/by/4.0/ open access application/pdf De Gruyter