Institute of Applied Mathematics, College of science, Northwest A&F University, No. 22 Xinong Road, Yangling, 712100 Shaanxi, China; State Key Laboratory of Crop Stress Biology in Arid Areas, School of Plant Protection, Northwest A&F University, No. 22 Xinong Road, Yangling, 712100 Shaanxi, China
State Key Laboratory of Crop Stress Biology in Arid Areas, School of Plant Protection, Northwest A&F University, No. 22 Xinong Road, Yangling, 712100 Shaanxi, China
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.
Zhang, L., & Zhao, H. (2015). Traveling Wave Solutions in a Stage-Structured Delayed Reaction-Diffusion Model with Advection. Mathematical Modelling and Analysis, 20(2), 168-187. https://doi.org/10.3846/13926292.2015.1020455
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