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

DOI10.4208/aam.oa-2023-0014OpenAlexW4381193597MaRDI QIDQ6151356

No author found.

Publication date: 11 March 2024

Published in: Annals of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/aam.oa-2023-0014

zbMATH Keywords

Hirota's bilinear methodfood chainssymmetric orthogonal polynomialsdeterminant techniquesnonisospectral Lotka-Volterra

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Application of orthogonal and other special functions (94A11) Lattice dynamics; integrable lattice equations (37K60)

Cites Work

• Unnamed Item
• Unnamed Item
• Characterizations of \(\Delta\)-Volterra lattice: a symmetric orthogonal polynomials interpretation
• Determinantal identities: Gauss, Schur, Cauchy, Sylvester, Kronecker, Jacobi, Binet, Laplace, Muir, and Cayley
• Population dynamical behavior of non-autonomous Lotka-Volterra competitive system with random perturbation
• The integration of semi-infinite Toda chain by means of inverse spectral problem
• Two species competition in a periodic environment
• On an explicitly soluble system of nonlinear differential equations related to certain Toda lattices
• Moment modification, multipeakons, and nonisospectral generalizations
• The extinction in nonautonomous prey-predator Lotka-Volterra systems
• Some new results on nonautonomous Lotka-Volterra competitive systems with delays
• Nonisospectral extension of Schur flow with determinant solution and orthogonal polynomials on the unit circle
• Almost periodic solution of non-autonomous Lotka-Volterra predator-prey dispersal system with delays
• Toda chain, Stieltjes function, and orthogonal polynomials
• Permanence and global stability of nonautonomous Lotka-Volterra system with predator-prey and deviating arguments
• A generalized nonisospectral Camassa-Holm equation and its multipeakon solutions
• The discrete Lotka-Volterra system computes singular values
• Faces of Relativistic Toda Chain
• About several classes of bi-orthogonal polynomials and discrete integrable systems
• Three semi-discrete integrable systems related to orthogonal polynomials and their generalized determinant solutions
• On Lotka--Volterra Equations with Identical Minimal Intrinsic Growth Rate
• New 2+1 dimensional nonisospectral Toda lattice hierarchy
• Linear algebra algorithms as dynamical systems
• Extinction in nonautonomous competitive Lotka-Volterra systems
• An approach for constructing nonisospectral hierarchies of evolution equations
• Discrete-time Volterra chain and classical orthogonal polynomials
• Extinction of species in nonautonomous Lotka-Volterra systems
• Evolutionary Games and Population Dynamics
• Nonisospectral Flows on Semi-infinite Jacobi Matrices
• Non-isospectral extension of the Volterra lattice hierarchy, and Hankel determinants
• A Lotka-Volterra Three-Species Food Chain
• Periodic Solutions of Nonautonomous Discrete Predator-Prey System of Lotka-Volterra Type
• Quasideterminant Solutions of a Noncommutative Nonisospectral Kadomtsev—Petviashvili Equation
• Schur flow for orthogonal polynomials on the unit circle and its integrable discretization

This page was built for publication: Nonisospectral Lotka–Volterra Systems as a Candidate Model for Food Chain