An asymptotic analysis for an integrable variant of the Lotka–Volterra prey–predator model via a determinant expansion technique

DOI10.1080/23311835.2015.1046538zbMath1339.92076OpenAlexW1593680268WikidataQ115549387 ScholiaQ115549387MaRDI QIDQ2813483

Yoshimasa Nakamura, Emiko Ishiwata, Yusaku Yamamoto, Akiko Fukuda, Masashi Iwasaki, Masato Shinjo

Publication date: 24 June 2016

Published in: Cogent Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/23311835.2015.1046538

zbMATH Keywords

asymptotic expansiondiscrete hungry Lotka-Volterra systemCasorati determinant

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Population dynamics (general) (92D25) Discrete version of topics in analysis (39A12)

Related Items (2)

An extended Fibonacci sequence associated with the discrete hungry Lotka–Volterra system ⋮ The Kostant-Toda equation and the hungry integrable systems

Cites Work

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• A Bäcklund transformation between two integrable discrete hungry systems
• Determinants and their applications in mathematical physics
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• The discrete Lotka-Volterra system computes singular values
• The discrete hungry Lotka–Volterra system and a new algorithm for computing matrix eigenvalues
• Wronskian and Casorati determinant representations for Darboux–Pöschl–Teller potentials and their difference extensions
• On the system of non-linear differential equations y_k=y_k(y_k+1-y_k-1)
• Discrete-time Volterra chain and classical orthogonal polynomials
• On the convergence of a solution of the discrete Lotka Volterra system
• Proof of solitonical nature of box and ball systems by means of inverse ultra-discretization

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