Year: 2023
Author: Xiao-Min Chen, Xing-Biao Hu
Annals of Applied Mathematics, Vol. 39 (2023), Iss. 3 : pp. 281–322
Abstract
In this paper, we derive a generalized nonisospectral semi-infinite Lotka–Volterra equation, which possesses a determinant solution. We also give its a Lax pair expressed in terms of symmetric orthogonal polynomials. In addition, if the simplified case of the moment evolution relation is considered, that is, without the convolution term, we also give a generalized nonisospectral finite Lotka–Volterra equation with an explicit determinant solution. Finally, an application of the generalized nonisospectral continuous-time Lotka–Volterra equation in the food chain is investigated by numerical simulation. Our approach is mainly based on Hirota’s bilinear method and determinant techniques.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aam.OA-2023-0014
Annals of Applied Mathematics, Vol. 39 (2023), Iss. 3 : pp. 281–322
Published online: 2023-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 42
Keywords: Nonisospectral Lotka–Volterra symmetric orthogonal polynomials food chains determinant techniques Hirota’s bilinear method.