Traveling Wave Solutions in a Stage-Structured Delayed Reaction-Diffusion Model with Advection

We investigate a stage-structured delayed reaction-diffusion model with advection that describes competition between two mature species in water flow. Time delays are incorporated to measure the time lengths from birth to maturity of the populations. We show there exists a finite positive number c *...

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Bibliographic Details
Published inMathematical modelling and analysis Vol. 20; no. 2; pp. 168 - 187
Main Authors Zhang, Liang, Zhao, Huiyan
Format Journal Article
LanguageEnglish
Published Taylor & Francis 04.03.2015
Vilnius Gediminas Technical University
Subjects
Advection
Aluminum
Competition
Hydraulic flow
Joining
Mathematical analysis
Mathematical models
Spreading
stage structure
time delay
Traveling waves
travelling wave solutions
Wave equations
advection
travelling wave solutions
competition
time delay
stage structure
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Summary:We investigate a stage-structured delayed reaction-diffusion model with advection that describes competition between two mature species in water flow. Time delays are incorporated to measure the time lengths from birth to maturity of the populations. We show there exists a finite positive number c * that can be characterized as the slowest spreading speed of traveling wave solutions connecting two mono-culture equilibria or connecting a mono-culture with the coexistence equilibrium. The model and mathematical result in [J.F.M. Al-Omari, S.A. Gourley, Stability and travelling fronts in Lotka-Volterra competition models with stage structure, SIAM J. Appl. Math. 63 (2003) 2063-2086] are generalized.
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ISSN:1392-6292
1648-3510
DOI:10.3846/13926292.2015.1020455