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.
Bagarello, F., Oliveri, F. (2014). Dynamics of closed ecosystems described by operators. ECOLOGICAL MODELLING, 275, 89-99 [10.1016/j.ecolmodel.2013.12.008].
Dynamics of closed ecosystems described by operators
BAGARELLO, Fabio;
2014-01-01
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.
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