Nonnegative solutions for a heterogeneous degenerate competition model

• Autores: Antonio Suárez Fernández
• Localización: Anziam journal: The Australian & New Zealand industrial and applied mahtematics journal, ISSN 1446-1811, Vol. 46, Nº 2, 2004, págs. 273-297
• Idioma: inglés
• DOI: 10.1017/s1446181100013845
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• Resumen

  • This paper deals with the existence, uniqueness and qualitative properties of nonnegative and nontrivial solutions of a spatially heterogeneous Lotka-Volterra competition model with nonlinear diffusion. We give conditions in terms of the coefficients involved in the setting of the problem which assure the existence of nonnegative solutions as well as the uniqueness of a positive solution. In order to obtain these results we employ monotonicity methods, singular spectral theory and a fixed point index.