Numerical investigation of the index of the vector field of Holling-Tanner model by the fast Fourier transform
Abstract
The following Van der Pol and Holling-Tanner equations is analyzed from the qualitative viewpoint by investigating their vector fields and analyzing the nature of the stationary points of these equations. The winding numbers (indices) of the stationary points are investigated by calculating the Poincare integrals. This calculation is performed by a novel method which is based on application of the fast Fourier transform (FFT) formation to the Poincare integrand.
Copyright © 2021 A.A. Adeniji, I. Fedotov, M.Y. Shatalov, A.C. Mkolesia. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
A. A. Adeniji, I. Fedotov, M. Y. Shatalov, A. C. Mkolesia, Numerical investigation of the index of the vector field of Holling-Tanner model by the fast Fourier transform, J. Math. Comput. Sci. 11 (2021), 7302–7316. https://doi.org/10.28919/jmcs/5305
BibTeX
@article{Adeniji2021,
author = {Adeniji, A.A. and Fedotov, I. and Shatalov, M.Y. and Mkolesia, A.C.},
title = {Numerical investigation of the index of the vector field of Holling-Tanner model by the fast Fourier transform},
journal = {J. Math. Comput. Sci.},
volume = {11},
year = {2021},
pages = {7302--7316},
doi = {10.28919/jmcs/5305}
}