On the geometric diversity of wavefronts for the scalar Kolmogorov ecological equation
arXiv:1903.10339 · doi:10.1007/s00332-020-09642-9
Abstract
In this work, we answer three fundamental questions concerning monostable travelling fronts for the scalar Kolmogorov ecological equation with diffusion and spatiotemporal interaction: these are the questions about their existence, uniqueness and geometric shape. In the particular case of the food-limited model, we give a rigorous proof of the existence of a peculiar, yet substantive non-linearly determined class of non-monotone and non-oscillating wavefronts. As regards to the scalar models coming from applications, this kind of wave solutions is analyzed here for the first time.
arXiv comment40 pages, 4 figures, submitted
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