A computational method for solution of the prey and predator problem

DOI10.1016/j.amc.2004.05.001zbMath1060.65612OpenAlexW1964873670WikidataQ115598647 ScholiaQ115598647MaRDI QIDQ1774891

Roya Montazeri, Jafar Biazar

Publication date: 4 May 2005

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

Full work available at URL: https://doi.org/10.1016/j.amc.2004.05.001

zbMATH Keywords

numerical examplespopulation dynamicsAdomian decomposition methodprey-predator modelsystem of nonlinear Volterra differential equations

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Population dynamics (general) (92D25) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items (19)

Solution of the prey and predator problem by homotopy perturbation method ⋮ Solvability of the predator and prey system with variable coefficients and comparison of the results with modified decomposition ⋮ On a new reliable algorithm ⋮ Variational iteration method for solving the epidemic model and the prey and predator prob\-lem ⋮ An efficient method for solving systems of fractional integro-differential equations ⋮ He's variational iteration method applied to the solution of the prey and predator problem with variable coefficients ⋮ Spectral collocation method for solving continuous population models for single and interacting species by means of exponential Chebyshev approximation ⋮ Prescribing a multistage analytical method to a prey-predator dynamical system ⋮ Comparing numerical methods for the solutions of the Chen system ⋮ SOR-like new iterative method for solving the epidemic model and the prey and predator problem ⋮ Construction of analytic solution to chaotic dynamical systems using the homotopy analysis method ⋮ Accuracy of the Adomian decomposition method applied to the Lorenz system ⋮ Solution of prey-predator problem by numeric-analytic technique ⋮ Analytical solutions of a modified predator-prey model through a new ecological interaction ⋮ On some approximate methods for nonlinear models ⋮ Solutions to the problem of prey and predator and the epidemic model via differential transform method ⋮ Piecewise finite series solution of nonlinear initial value differential problem ⋮ Unnamed Item ⋮ A new approach to the solution of the prey and predator problem and comparison of the results with the Adomian method

Cites Work

• Unnamed Item
• Solving frontier problems of physics: the decomposition method
• An alternate algorithm for computing Adomian polynomials in special cases
• Solution of the system of ordinary differential equations by Adomian decomposition method.
• A global method for solution of complex systems

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