$C_{E}PT$ Symmetry of the Simple Ecological Dynamical Equations

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dc.creatorPankovic, Vladan
dc.creatorGlavatovic, Rade
dc.creatorPredojevic, Milan
dc.date2005-10-10
dc.date.accessioned2026-07-07T06:48:36Z
dc.date.available2026-07-07T06:48:36Z
dc.descriptionIt is shown that all simple ecological, i.e. population dynamical equations (unlimited exponential population growth (or decrease) dynamics, logistic or Verhulst equation, usual and generalized Lotka-Volterra equations) hold a symmetry, called $C_{E}PT$ symmetry. Namely, all simple ecological dynamical equations are invariant (symmetric) in respect to successive application of the time reversal transformation - $T$, space coordinates reversal or parity transformation - $P$, and predator-prey reversal transformation - $C_{E}$ that changes preys in the predators or pure (healthy) in the impure (fatal) environment, and vice versa. It is deeply conceptually analogous to remarkable $CPT$ symmetry of the fundamental physical dynamical equations. Further, it is shown that by more accurate, "microscopic" analysis, given $C_{E}PT$ symmetry becomes explicitly broken.
dc.description11 pages, no figures
dc.identifierhttps://arxiv.org/abs/q-bio/0510020
dc.identifierhttp://arxiv.org/abs/q-bio/0510020
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/104069
dc.subjectPopulations and Evolution
dc.title$C_{E}PT$ Symmetry of the Simple Ecological Dynamical Equations
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