Perturbation Theory for Population Dynamics

Abstract

We prove that a recently proposed homotopy perturbation method for the treatment of population dynamics is just the Taylor expansion of the population variables about initial time. Our results show that this perturbation method fails to provide the global features of the ecosystem dynamics.

Cited by in corpus (6)

• On Some Perturbation Approaches to Population Dynamics
• 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