On Some Perturbation Approaches to Population Dynamics

Abstract

We show that the Adomian decomposition method, the time--series expansion, the homotopy--perturbation method, and the variational--iteration method completely fail to provide a reasonable description of the dynamics of the simplest prey--predator system.

References in corpus (1)

• Perturbation Theory for Population Dynamics

Cited by in corpus (5)

• On the application of homotopy--perturbation and Adomian decomposition methods to the linear and nonlinear Schrödinger equations
• On the application of homotopy perturbation method to differential equations
• On the application of the variational iteration method to a prey and predator model with variable coefficients
• Homotopy perturbation method: when infinity equals five
• About homotopy perturbation method for solving heat-like and wave-like equations with variable coefficients