López Gómez, JuliánMaire, Luis2024-07-112024-07-112017-01-26Lopez-Gomez, J., & Maire, L. Coupled versus uncoupled blow-up rates in cooperative n-species logistic systems. Advanced Nonlinear Studies, 2017; 17(3): 411-428.1536-13652169-037510.1515/ans-2016-6018https://hdl.handle.net/20.500.14352/105948This 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.engAttribution 4.0 Internationalhttp://creativecommons.org/licenses/by/4.0/journal articleopen accessCooperative SystemsLarge SolutionsBlow-Up Rates on the BoundaryVariable RatesUniqueness of Large SolutionsEcuaciones diferenciales1206.02 Ecuaciones Diferenciales