Taylor collocation approach for delayed Lotka-Volterra predator-prey system

DOI10.1016/j.amc.2015.06.110zbMath1410.65251OpenAlexW930386537WikidataQ115598287 ScholiaQ115598287MaRDI QIDQ668170

Mehmet Sezer, Osman Rasit Isik, Elcin Gokmen

Publication date: 18 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2015.06.110

zbMATH Keywords

collocation pointsLotka-Volterra prey-predator modelTaylor polynomials and seriessystem of nonlinear delay-differential equations

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Numerical methods for initial value problems involving ordinary differential equations (65L05) Bifurcation theory of functional-differential equations (34K18)

Related Items (8)

An operational matrix method to solve the Lotka-Volterra predator-prey models with discrete delays ⋮ A new numerical approach method to solve the Lotka-Volterra predator-prey models with discrete delays ⋮ A numerical method for solutions of Lotka–Volterra predator–prey model with time-delay ⋮ Generalized Taylor polynomials for axisymmetric plates and shells ⋮ Optimal homotopy asymptotic and multistage optimal homotopy asymptotic methods for solving system of Volterra integral equations of the second kind ⋮ A numerical approach for solving Volterra type functional integral equations with variable bounds and mixed delays ⋮ Control of accuracy on Taylor-collocation method for load leveling problem ⋮ Modified Chebyshev collocation method for delayed predator-prey system

Uses Software

• Maple

Cites Work

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• A rational approximation based on Bernstein polynomials for high order initial and boundary values problems
• The solution of high-order nonlinear ordinary differential equations by Chebyshev series
• Delay differential equations: with applications in population dynamics
• Local Hopf bifurcation and global periodic solutions in a delayed predator--prey system
• Legendre polynomial solutions of high-order linear Fredholm integro-differential equations
• Multiparameter bifurcation diagrams in predator-prey models with time lag
• Nonconstant periodic solutions in predator-prey systems with continuous time delay
• Convergence results in a well-known delayed predator-prey system
• Stability and bifurcation analysis for a delayed Lotka--Volterra predator--prey system
• On Nonlinear Dynamics of Predator-Prey Models with Discrete Delay
• Taylor polynomial solutions of Volterra integral equations

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