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math-phDec 20, 2007
15
citations (OpenAlex)
authors
  • Francisco M. Fernandez
institutions
  • Universidad Nacional de La Plata
arXiv abstractPDF
paper

Perturbation Theory for Population Dynamics

arXiv:0712.3376

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 (13)

  • 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
  • Amazing variational approach to chemical reactions
  • On a simple approach to nonlinear oscillators
  • Comment on the numerical solutions of a new coupled MKdV system (2008 Phys. Scr. 78 045008)
  • On Perturbation theory for the Fokker--Planck equation
  • Perturbation approaches and Taylor series
  • Nonsensical models for quantum dots
  • About homotopy perturbation method for solving heat-like and wave-like equations with variable coefficients
  • On some approximate methods for nonlinear models
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