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Dynamics of closed ecosystems described by operators

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  • Bagarello, Fabio
  • Oliveri, Francesco

Abstract

We adopt the so-called occupation number representation, originally used in quantum mechanics and recently adopted in the description of several classical systems, in the analysis of the dynamics of some models of closed ecosystems. In particular, we discuss two linear models, for which the solution can be found analytically, and a nonlinear system, for which we produce numerical results. We also discuss how a dissipative effect could be effectively implemented in the model.

Suggested Citation

  • Bagarello, Fabio & Oliveri, Francesco, 2014. "Dynamics of closed ecosystems described by operators," Ecological Modelling, Elsevier, vol. 275(C), pages 89-99.
    • Handle: RePEc:eee:ecomod:v:275:y:2014:i:c:p:89-99
    DOI: 10.1016/j.ecolmodel.2013.12.008
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    Cited by:

    1. Di Salvo, Rosa & Gorgone, Matteo & Oliveri, Francesco, 2020. "Generalized Hamiltonian for a two-mode fermionic model and asymptotic equilibria," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 540(C).
    2. Bagarello, F. & Di Salvo, R. & Gargano, F. & Oliveri, F., 2018. "(H,ρ)-induced dynamics and large time behaviors," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 505(C), pages 355-373.
    3. Bagarello, F. & Gargano, F., 2017. "Modeling interactions between political parties and electors," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 481(C), pages 243-264.
    4. Bagarello, F., 2020. "One-directional quantum mechanical dynamics and an application to decision making," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 537(C).

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