An improved collocation approach of Euler polynomials connected with Bernoulli ones for solving predator-prey models with time lag

DOI10.1155/2020/9176784zbMath1469.65133OpenAlexW3014856862WikidataQ115521614 ScholiaQ115521614MaRDI QIDQ2026244

Publication date: 19 May 2021

Published in: International Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2020/9176784

zbMATH Keywords

collocation method predator-prey model Lotka-Volterra model time-delay differential equations

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60)

Uses Software

PRED_PREY

Cites Work

Unnamed Item
Bessel collocation approach for solving continuous population models for single and interacting species
Congruences for Bernoulli, Euler, and Stirling numbers
Global stability for two-species Lotka-Volterra systems with delay
A note on the Bernoulli and Euler polynomials
Euler polynomial solutions of nonlinear stochastic Itô-Volterra integral equations
Theoretical analysis of an imprecise prey-predator model with harvesting and optimal control
Stability and delays in a predator-prey system
On a prey-predator reaction-diffusion system with Holling type III functional response
Extinction time of a stochastic predator-prey model by the generalized cell mapping method
Analytical solutions of a modified predator-prey model through a new ecological interaction
Explicit representation of orthonormal Bernoulli polynomials and its application for solving Volterra-Fredholm-Hammerstein integral equations
A fuzzy cellular prey-predator model for pest control under sustainable bio-economic equilibrium: a formal description and simulation analysis study
Finite-difference schemes for reaction-diffusion equations modeling predator-prey interactions in MATLAB
Finite element approximation of spatially extended predator-prey interactions with the Holling type II functional response
Stability and bifurcation analysis for a delayed Lotka--Volterra predator--prey system
On Nonlinear Dynamics of Predator-Prey Models with Discrete Delay
Absolute stability, conditional stability and bifurcation in Kolmogorov-type predator-prey systems with discrete delays
Stability and bifurcation for a delayed predator-prey model and the effect of diffusion
A uniformly convergent Euler matrix method for telegraph equations having constant coefficients

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