Time-delay version of the integrable discrete Lotka-Volterra system in terms of the LR transformations

To introduce time delay into integrable discrete systems, we present a time-delay version of the discrete Lotka-Volterra (dLV) system, which is a time-discretization of the famous predator-prey Lotka-Volterra system. Focusing on the LR transformations, which has been designed for solving symmetric e...

Full description

Saved in:
Bibliographic Details
Published in:IOP SciNotes 2021-08, Vol.2 (3), p.35001
Main Authors: Sekiguchi, Masaki, Oka, Kurumi, Iwasaki, Masashi, Ishiwata, Emiko
Format: Article
Language:English
Subjects:
discrete Lotka-Volterra system
LR transformation
time delay
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:To introduce time delay into integrable discrete systems, we present a time-delay version of the discrete Lotka-Volterra (dLV) system, which is a time-discretization of the famous predator-prey Lotka-Volterra system. Focusing on the LR transformations, which has been designed for solving symmetric eigenvalue problems, plays a key role in deriving the essential properties of the original dLV system. We also clarify asymptotic convergence in the resulting time-delay system and present an application for computing matrix eigenvalues and singular values.
ISSN:2633-1357
2633-1357
DOI:10.1088/2633-1357/ac1cd4