| Full text | |
| Author(s): |
Bernardini, A. E.
;
Bertolami, O.
Total Authors: 2
|
| Document type: | Journal article |
| Source: | FOUNDATIONS OF PHYSICS; v. 53, n. 3, p. 11-pg., 2023-06-01. |
| Abstract | |
Quantum frameworks for modeling competitive ecological systems and self-organizing structures have been investigated under multiple perspectives yielded by quantum mechanics. These comprise the description of the phase-space prey-predator competition dynamics in the framework of the Weyl-Wigner quantum mechanics. In this case, from the classical dynamics described by the Lotka-Volterra (LV) Hamiltonian, quantum states convoluted by statistical gaussian ensembles can be analytically evaluated. Quantum modifications on the patterns of equilibrium and stability of the prey-predator dynamics can then be identified. These include quantum distortions over the equilibrium point drivers of the LV dynamics which are quantified through the Wigner current fluxes obtained from an onset Hamiltonian background. In addition, for gaussian ensembles highly localized around the equilibrium point, stability properties are shown to be affected by emergent topological quantum domains which, in some cases, could lead either to extinction and revival scenarios or to the perpetual coexistence of both prey and predator agents identified as quantum observables in microscopic systems. Conclusively, quantum and gaussian statistical driving parameters are shown to affect the stability criteria and the time evolution pattern for such microbiological-like communities. (AU) | |
| FAPESP's process: | 23/00392-8 - Quantum correlations for localized Dirac-like systems and Weyl-Wigner quantum mechanics extensions to non-linear systems |
| Grantee: | Alex Eduardo de Bernardini |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 20/01976-5 - Phase-space Weyl-Wigner's formalism for the calculation of quantum distortions in non-linear cyclic Hamiltonian systems and extensions to the Earth System |
| Grantee: | Alex Eduardo de Bernardini |
| Support Opportunities: | Scholarships abroad - Research |