Solution of the prey and predator problem by homotopy perturbation method

DOI10.1016/j.amc.2006.11.007zbMath1119.65063OpenAlexW2053755631WikidataQ115598609 ScholiaQ115598609MaRDI QIDQ2372019

Yanyan Li

Publication date: 10 July 2007

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

Full work available at URL: https://doi.org/10.1016/j.amc.2006.11.007

zbMATH Keywords

numerical examplessystem of nonlinear differential equationshomotopy perturbation methodpower series methodsAdomian decompositionprey and predator problem

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items (5)

He's variational iteration method applied to the solution of the prey and predator problem with variable coefficients ⋮ SOR-like new iterative method for solving the epidemic model and the prey and predator problem ⋮ On some approximate methods for nonlinear models ⋮ Approximate analysis of MHD squeeze flow between two parallel disks with suction or injection by homotopy perturbation method ⋮ New exact solutions for seventh-order Sawada-Kotera-Ito, Lax and Kaup-Kupershmidt equations using Exp-function method

Cites Work

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• Homotopy perturbation method for thin film flow of a fourth grade fluid down a vertical cylinder
• Solitary wave solutions for a generalized Hirota-Satsuma coupled KdV equation by homotopy perturbation method
• The homotopy perturbation method for nonlinear oscillators with discontinuities.
• A computational method for solution of the prey and predator problem
• Homotopy perturbation method for bifurcation of nonlinear problems
• Asymptotology by homotopy perturbation method
• Comparison of homotopy perturbation method and homotopy analysis method
• Homotopy perturbation method for solving boundary value problems
• Homotopy perturbation technique
• Homotopy perturbation method for quadratic Riccati differential equation and comparison with Adomian's decomposition method
• Iterated He's homotopy perturbation method for quadratic Riccati differential equation
• Limit cycle and bifurcation of nonlinear problems
• Application of homotopy perturbation method to nonlinear wave equations
• Numerical solutions of the integral equations: homotopy perturbation method and Adomian's decomposition method
• SOME ASYMPTOTIC METHODS FOR STRONGLY NONLINEAR EQUATIONS

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