MINIMUM WAVE SPEED FOR A DIFFUSIVE COMPETITION MODEL WITH TIME DELAY
Author(s) -
Wenzhang Huang,
Yinshu Wu
Publication year - 2011
Publication title -
journal of applied analysis and computation
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.55
H-Index - 21
eISSN - 2158-5644
pISSN - 2156-907X
DOI - 10.11948/2011014
Subject(s) - wave speed , traveling wave , competition model , competition (biology) , mathematics , diffusion , reaction–diffusion system , control theory (sociology) , mathematical optimization , mathematical analysis , physics , computer science , economics , thermodynamics , control (management) , profit (economics) , ecology , artificial intelligence , biology , microeconomics
In this paper we study mono-stable traveling wave solutions for a Lotka-Volterra reaction-diffusion competition model with time delay. By constructing upper and lower solutions, we obtain the precise minimum wave speed of traveling waves under certain conditions. Our results also extend the known results on the minimum wave speed for Lotka-Volterra competition model without delay.
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