Lettera Matematica

, Volume 5, Issue 4, pp 305–311 | Cite as

The paradox of Vito Volterra’s predator-prey model

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Abstract

The aim of this article is to propose on the one hand a brief history of modelling starting from the works of Fibonacci, Robert Malthus, Pierre Francis Verhulst and then Vito Volterra and, on the other hand, to present the main hypotheses of the very famous but very little known predator-prey model elaborated in the 1920s by Volterra in order to solve a problem posed by his son-in-law, Umberto D’Ancona. It is thus shown that, contrary to a widely-held notion, Volterra’s model is realistic and his seminal work laid the groundwork for modern population dynamics and mathematical ecology, including seasonality, migration, pollution and more.

Keywords

Vito Volterra Population dynamics Predator-prey model Alfred Lotka Henri Poincaré Malthusian growth Holling function 

Notes

Acknowledgements

I wish to express my sincerest thanks to my friend Christian Gérini, Agrégé de Mathématiques and Docteur en Histoire des Sciences, who encouraged and supported me in my work.

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Copyright information

© Centro P.RI.ST.EM, Università Commerciale Luigi Bocconi 2017

Authors and Affiliations

  1. 1.Laboratoire LSIS, CNRS, UMR 7296Université de ToulonLa Garde CedexFrance
  2. 2.Archives Henri PoincaréUniversité de de Lorraine, CNRS, UMR 7117Nancy CedexFrance

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