Time-delay version of the integrable discrete Lotka-Volterra system in terms of the LR transformations. (23rd August 2021)

• Record Type: Journal Article
• Authors: Sekiguchi, Masaki; Oka, Kurumi; Iwasaki, Masashi; Ishiwata, Emiko
• Is Part Of: IOP SciNotes. Volume 2:Number 3(2021)
• Publication Date: 2021-08-23
• Subjects: discrete Lotka-Volterra system -- time delay -- LR transformation; 500
• DOI: 10.1088/2633-1357/ac1cd4
• Languages: English
• ISSNs: 2633-1357

Abstract

Abstract: 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.