Abstract

PADRON, VÍCTOR. Existence and uniqueness of a positive. Rev.colomb.mat. [online]. 2007, vol.41, suppl.1, pp.189-195. ISSN 0034-7426.

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.

Keywords : Monotone matrices; irreducible matrix; maximum principle; Matrices monótonas; matriz irreducible; principio máximo.

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