Perturbation Theory for Population Dynamics

2007/12/20 by Francisco M. Fernández, Francisco M. Fernandez, Fernandez, Francisco M. · 4 citations
Mathematics · Medicine · Physics and Astronomy · #FOS: Physical sciences #Mathematical Physics (math-ph) #Mathematical and Theoretical Epidemiology and Ecology Models #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.0712.3376

arxiv created 2007/12/20 · openalex publication_date 2007/12/20 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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

• On the application of homotopy--perturbation and Adomian decomposition methods to the linear and nonlinear Schrödinger equations
• About homotopy perturbation method for solving heat-like and wave-like equations with variable coefficients
• On the application of the variational iteration method to a prey and predator model with variable coefficients
• Comment on the numerical solutions of a new coupled MKdV system (2008Phys. Scr.78045008)

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