A free boundary problem describing S–K–T competition ecological model with cross-diffusion |
| |
| Institution: | 1. Department of Mathematics, National Technical University, Zografou campus, 15780, Athens, Greece;2. Department of Mathematics and Computer Science, University of Palermo, Via Archirafi 34, 90123, Palermo, Italy;3. Department of Energy, Information Engineering and Mathematical Models (DEIM), University of Palermo, Viale delle Scienze ed. 8, 90128, Palermo, Italy;1. Departamento de Matemática, Grupo de Investigación en Sistemas Dinámicos y Aplicaciones (GISDA), Universidad del Bío-Bío, Casilla 5-C, Concepción, Chile;1. Czech Academy of Sciences, Institute of Mathematics, ?itná 25, 115 67 Praha 1, Czech Republic;2. Department of Mathematics and Statistical Sciences & Department of Mechanical, Energy and Industrial Engineering, Botswana International University of Science and Technology, Palapye, Botswana;3. Centro de Investigación en Creatividad y Educación Superior, Universidad de Santiago de Chile, Santiago, Chile |
| |
| Abstract: | In this paper we investigate a free boundary problem describing S–K–T competition ecological model with two competing species and with cross-diffusion and self-diffusion in one space dimension, where one species is made up of two groups separated by a free boundary, and the other has a single group. The system under consideration is strongly coupled and the coefficients of the equations are allowed to be discontinuous. We first show the global existence and uniqueness of the solutions for the corresponding diffraction problem by approximation method, Galerkin method and Schauder fixed point theorem, and then prove the local existence of the solutions for the free boundary problem by Schauder fixed point theorem. |
| |
| Keywords: | Free boundary Cross-diffusion Discontinuous coefficients Galerkin method Fixed point theorem |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
