On the Geometric Diversity of Wavefronts for the Scalar Kolmogorov Ecological Equation
We answer three fundamental questions concerning monostable traveling 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, w...
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| Veröffentlicht in: | Journal of nonlinear science 2020-12, Vol.30 (6), p.2989-3026 |
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| container_end_page | 3026 |
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| container_issue | 6 |
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| container_title | Journal of nonlinear science |
| container_volume | 30 |
| creator | Hasík, Karel Kopfová, Jana Nábělková, Petra Trofimchuk, Sergei |
| description | We answer three fundamental questions concerning monostable traveling 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 and nonlinearly determined class of non-monotone and non-oscillating wavefronts. |
| doi_str_mv | 10.1007/s00332-020-09642-9 |
| format | Article |
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| issn | 0938-8974 1432-1467 |
| language | eng |
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| subjects | Analysis Classical Mechanics Economic Theory/Quantitative Economics/Mathematical Methods Mathematical and Computational Engineering Mathematical and Computational Physics Mathematics Mathematics and Statistics Questions Theoretical Wave fronts |
| title | On the Geometric Diversity of Wavefronts for the Scalar Kolmogorov Ecological Equation |
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