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Revista Colombiana de Matemáticas
Print version ISSN 0034-7426
Rev.colomb.mat. vol.41 suppl.1 Bogotá Oct. 2007
1 Department of Mathematics, Normandale Community College, USA. E-mail: victor.padron@normandale.edu
We prove the existence and uniqueness of a positive solution to a logistic system of differential difference equations that arises as a population model for a single species which is composed of several habitats connected by linear migration rates. Our proof is based on the proof of a similar result for a reaction-advection-diffusion equation.
Key words: Monotone matrices, irreducible matrix, maximum principle.
2000 Mathematics Subject Classification: Primary: 34A34. Secondary: 92D25.
En este artículo probamos la existencia y unicidad de una solución positiva a un sistema logístico de ecuaciones diferenciales y de diferencias finitas que surge como un modelo de la población de una especie localizada en un conjunto discreto de habitats interconectados por tasas lineales de migración. Nuestra prueba está basada en la prueba de un resultado similar para ecuaciones de reacción-advección-difusión.
Palabras clave: Matrices monótonas, matriz irreducible, principio máximo.
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