Non-perturbative analytical solution of the general Lotka-Volterra three-species system

DOI10.1016/0096-3003(95)00162-XzbMath0846.65034OpenAlexW2038380407MaRDI QIDQ1914670

Nabil T. Shawagfeh, G. Adomian

Publication date: 23 June 1996

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

Full work available at URL: https://doi.org/10.1016/0096-3003(95)00162-x

zbMATH Keywords

population dynamicsLotka-Volterra equationsprey-predator modelAdomian decompositionthree-species system

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 (8)

A modified Adomian method for system of nonlinear differential equations ⋮ An exact solution for variable coefficient fourth-order wave equation using the Adomian method ⋮ Convenient analytic recurrence algorithms for the Adomian polynomials ⋮ Comparing numerical methods for the solutions of the Chen system ⋮ Comparing numerical methods for the solutions of systems of ordinary differential equations. ⋮ Accuracy of the Adomian decomposition method applied to the Lorenz system ⋮ The decomposition method for stiff systems of ordinary differential equations ⋮ Finite-precision arithmetic coding via index-splitting and probability-fitting

Cites Work

• Unnamed Item
• Approximate analytical solutions to the three-species ecological system
• Approximate analytical solutions of general Lotka-Volterra equations
• A note on exact solutions of two prey-predator equations
• Solving frontier problems of physics: the decomposition method
• Decomposition methods: A new proof of convergence
• Nonlinear equations with mixed derivatives
• New ideas for proving convergence of decomposition methods
• Practical formulae for the calculus of multivariable Adomian polynomials
• Convergence of Adomian's Method

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