# Existence of Waves for a Nonlocal Reaction-Diffusion Equation

Mathematical Modelling of Natural Phenomena (2010)

- Volume: 5, Issue: 5, page 80-101
- ISSN: 0973-5348

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topDemin, I., and Volpert, V.. "Existence of Waves for a Nonlocal Reaction-Diffusion Equation." Mathematical Modelling of Natural Phenomena 5.5 (2010): 80-101. <http://eudml.org/doc/197617>.

@article{Demin2010,

abstract = {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.},

author = {Demin, I., Volpert, V.},

journal = {Mathematical Modelling of Natural Phenomena},

keywords = {integro-differential equation; travelling waves; Leray-Schauder method; topological degree; nonlocal stimulation of reproduction},

language = {eng},

month = {7},

number = {5},

pages = {80-101},

publisher = {EDP Sciences},

title = {Existence of Waves for a Nonlocal Reaction-Diffusion Equation},

url = {http://eudml.org/doc/197617},

volume = {5},

year = {2010},

}

TY - JOUR

AU - Demin, I.

AU - Volpert, V.

TI - Existence of Waves for a Nonlocal Reaction-Diffusion Equation

JO - Mathematical Modelling of Natural Phenomena

DA - 2010/7//

PB - EDP Sciences

VL - 5

IS - 5

SP - 80

EP - 101

AB - 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.

LA - eng

KW - integro-differential equation; travelling waves; Leray-Schauder method; topological degree; nonlocal stimulation of reproduction

UR - http://eudml.org/doc/197617

ER -

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