Geodesic
Existence of Waves for a Nonlocal Reaction-Diffusion Equation
I. Demin1 ; V. Volpert1
1 Institut Camille Jordan, University Lyon 1, UMR 5208 CNRS 69622 Villeurbanne, France
Mathematical modelling of natural phenomena, Tome 5 (2010) no. 5, pp. 80-101.

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In this work we study a nonlocal reaction-diffusion equation arising in population dynamics. The integral term in the nonlinearity describes nonlocal stimulation of reproduction. We prove existence of travelling wave solutions by the Leray-Schauder method using topological degree for Fredholm and proper operators and special a priori estimates of solutions in weighted Hölder spaces.
DOI : 10.1051/mmnp/20105506

I. Demin 1 ; V. Volpert 1

1 Institut Camille Jordan, University Lyon 1, UMR 5208 CNRS 69622 Villeurbanne, France 
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I. Demin; V. Volpert. Existence of Waves for a Nonlocal Reaction-Diffusion Equation. Mathematical modelling of natural phenomena, Tome 5 (2010) no. 5, pp. 80-101. doi : 10.1051/mmnp/20105506. http://geodesic.mathdoc.fr/articles/10.1051/mmnp/20105506/

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