HASÍK, Karel, Jana KOPFOVÁ, Petra NÁBĚLKOVÁ a Sergei TROFIMCHUK. On the Geometric Diversity of Wavefronts for the Scalar Kolmogorov Ecological Equation. Journal of Nonlinear Science. New York: SPRINGER, 2020, roč. 30, č. 6, s. 2989-3026. ISSN 0938-8974. Dostupné z: https://dx.doi.org/10.1007/s00332-020-09642-9. |
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@article{49260, author = {Hasík, Karel and Kopfová, Jana and Nábělková, Petra and Trofimchuk, Sergei}, article_location = {New York}, article_number = {6}, doi = {http://dx.doi.org/10.1007/s00332-020-09642-9}, keywords = {Non-local equation; Nonlinear determinacy; Delay; Wavefront; Existence; Uniqueness}, language = {eng}, issn = {0938-8974}, journal = {Journal of Nonlinear Science}, title = {On the Geometric Diversity of Wavefronts for the Scalar Kolmogorov Ecological Equation}, url = {https://link.springer.com/article/10.1007%2Fs00332-020-09642-9}, volume = {30}, year = {2020} }
TY - JOUR ID - 49260 AU - Hasík, Karel - Kopfová, Jana - Nábělková, Petra - Trofimchuk, Sergei PY - 2020 TI - On the Geometric Diversity of Wavefronts for the Scalar Kolmogorov Ecological Equation JF - Journal of Nonlinear Science VL - 30 IS - 6 SP - 2989-3026 EP - 2989-3026 PB - SPRINGER SN - 09388974 KW - Non-local equation KW - Nonlinear determinacy KW - Delay KW - Wavefront KW - Existence KW - Uniqueness UR - https://link.springer.com/article/10.1007%2Fs00332-020-09642-9 N2 - 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. ER -
HASÍK, Karel, Jana KOPFOVÁ, Petra NÁBĚLKOVÁ a Sergei TROFIMCHUK. On the Geometric Diversity of Wavefronts for the Scalar Kolmogorov Ecological Equation. \textit{Journal of Nonlinear Science}. New York: SPRINGER, 2020, roč.~30, č.~6, s.~2989-3026. ISSN~0938-8974. Dostupné z: https://dx.doi.org/10.1007/s00332-020-09642-9.
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