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Trends and Paradoxes of Competitive Evolution in the Predation Mechanism

Author

Listed:
  • Evariste Sanchez-Palencia

    (Sorbonne Université, CNRS, Institut Jean Le Rond d’Alembert, 75005 Paris, France)

  • M. A. Aziz-Alaoui

    (Normandie Univ, UNIHAVRE, LMAH, FR-CNRS-3335, ISCN, 76600 Le Havre, France)

Abstract

We give a series of numerical examples of competitive evolution in the predation system, showing in some cases how the choice is made to increase the efficiency of the predation mechanism (or other significant parameters) to the detriment of populations (both of prey and predators). We then develop the mathematical theory that enables us to understand the causality involved, and we identify a trend towards the emergence of the functional predation mechanism as such (and not of populations of the species involved). The realization of this trend only takes place when the conditions for it are offered by the hazards proposed to successive competitive choices. The logical structure of this trend is similar to that of the “tendency of rate of profit to fall” in certain economic models.

Suggested Citation

  • Evariste Sanchez-Palencia & M. A. Aziz-Alaoui, 2024. "Trends and Paradoxes of Competitive Evolution in the Predation Mechanism," Mathematics, MDPI, vol. 12(7), pages 1-17, April.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:7:p:1117-:d:1371996
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    References listed on IDEAS

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    1. Barman, Dipesh & Roy, Jyotirmoy & Alam, Shariful, 2022. "Impact of wind in the dynamics of prey–predator interactions," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 191(C), pages 49-81.
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    1. Dipesh Barman & Ranjit Kumar Upadhyay, 2023. "Modelling Predator–Prey Interactions: A Trade-Off between Seasonality and Wind Speed," Mathematics, MDPI, vol. 11(23), pages 1-26, December.

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