Traveling Wave Solutions in a Stage-Structured Delayed Reaction-Diffusion Model with Advection
Abstract
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.
Keywords:
competition, stage structure, time delay, travelling wave solutions, advectionHow to Cite
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Copyright (c) 2015 The Author(s). Published by Vilnius Gediminas Technical University.
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Copyright
Copyright (c) 2015 The Author(s). Published by Vilnius Gediminas Technical University.
License
This work is licensed under a Creative Commons Attribution 4.0 International License.