$C_{E}PT$ Symmetry of the Simple Ecological Dynamical Equations
نویسندگان
چکیده
It 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 CEPT 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 CE 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 CEPT symmetry becomes explicitly broken.
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