Nonisospectral Lotka–Volterra Systems as a Candidate Model for Food Chain

Nonisospectral Lotka–Volterra Systems as a Candidate Model for Food Chain

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.

You do not have full access to this article.

Already a Subscriber? Sign in as an individual or via your institution

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.

Author Details

Xiao-Min Chen

Xing-Biao Hu