TY - JOUR
T1 - Nonisospectral Lotka–Volterra Systems as a Candidate Model for Food Chain
AU - Chen , Xiao-Min
AU - Hu , Xing-Biao
JO - Annals of Applied Mathematics
VL - 3
SP - 281
EP - 322
PY - 2023
DA - 2023/09
SN - 39
DO - http://doi.org/10.4208/aam.OA-2023-0014
UR - https://global-sci.org/intro/article_detail/aam/21995.html
KW - Nonisospectral Lotka–Volterra, symmetric orthogonal polynomials, food chains, determinant techniques, Hirota’s bilinear method.
AB - <p style="text-align: justify;">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.</p>