Asymptotic patterns of a structured population diffusing in a two-dimensional strip

作者：Weng, Peixuan^*; Liang, Dong; Wu, Hanhong

来源：Nonlinear Analysis-Theory Methods & Applications, 2008, 69(11): 3931-3951.

DOI：10.1016/j.na.2007.10.027

• Structured population model
• Monotone semiflows
• Asymptotic patterns
• Spreading speed
• Traveling waves
• Two-dimensional strip

In this paper, we derive a population model for the growth of a single species on a two-dimensional strip with Neumann and Robin boundary conditions. We show that the dynamics of the mature population is governed by a reaction-diffusion equation with delayed global interaction. Using the theory of asymptotic speed of spread and monotone traveling waves for monotone semiflows, we obtain the spreading speed c*, the non-existence of traveling waves with wave speed 0 < c < c*, and the existence of monotone traveling waves connecting the two equilibria for c >= c*.

• 出版日期2008-12-1
• 单位华南师范大学