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Discontinuity, Nonlinearity, and Complexity 5(1) (2016) 75--84 | DOI:10.5890/DNC.2016.03.008

Vitali Vougalter$^{1}$, Vitaly Volpert$^{2}$

$^{1}$ Department of Mathematics, University of Toronto, Toronto, Ontario, M5S 2E4, Canada

$^{2}$ Institute Camille Jordan, UMR 5208 CNRS, University Lyon 1, Villeurbanne, 69622, France

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Abstract

The article deals with the existence of solutions of a system of nonlocal reaction-diffusion equations which appears in population dynamics. The proof relies on a fixed point technique. Solvability conditions for elliptic operators in unbounded domains which fail to satisfy the Fredholm property are being used.

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