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Time-delay version of the integrable discrete Lotka-Volterra system in terms of the LR transformations
IOP SciNotes Pub Date : 2021-08-23 , DOI: 10.1088/2633-1357/ac1cd4
Masaki Sekiguchi 1 , Kurumi Oka 2 , Masashi Iwasaki 3 , Emiko Ishiwata 4
Affiliation  

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.



中文翻译:

根据 LR 变换的可积离散 Lotka-Volterra 系统的延时版本

为了将时间延迟引入可积离散系统,我们提出了离散 Lotka-Volterra (dLV) 系统的时间延迟版本,它是著名的捕食者-猎物 Lotka-Volterra 系统的时间离散化。着眼于LR转换,这是专为解决对称特征值问题,发挥在推导原DLV系统的基本属性了关键作用。我们还阐明了所得时滞系统中的渐近收敛性,并提出了计算矩阵特征值和奇异值的应用程序。

更新日期:2021-08-23
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