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On Gompertz growth model and related difference equations

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Abstract

Within the context of the dynamics of populations described by first order difference equations a datailed study of the Gompertz growth model is performed. This is mainly achieved by proving several theorems for a class of difference equations generalizing the Gompertz equation. Some interesting features of the discrete Gompertz model, not exhibited by other well known growth models, are finally pointed out.

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Authors and Affiliations

  1. Instituto di Science dell'Informazione, Università di Salerno, Salerno, Italy

    A. G. Nobile, L. M. Ricciardi & L. Sacerdote

  2. Istituto di Matematica, Università degli Studi, Via Mezzocannone 8, 80100, Napoli, Italy

    L. M. Ricciardi

Authors
  1. A. G. Nobile
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  2. L. M. Ricciardi
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  3. L. Sacerdote
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Nobile, A.G., Ricciardi, L.M. & Sacerdote, L. On Gompertz growth model and related difference equations. Biol. Cybern. 42, 221–229 (1982). https://doi.org/10.1007/BF00340079

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  • DOI: https://doi.org/10.1007/BF00340079

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