Quantum Prey-Predator Dynamics: A Gaussian Ensemble Analysis

• Tipo: Artigo em Revista Científica Internacional
• Data: 2023

Autores

Bernardini, AE (Autor) Outra; Bertolami, O (Autor) FCUP

Revista

Título: Foundations of Physics

Vol. 53

ISSN: 0015-9018

Editora: Springer Nature

Indexação

ISI Web of Knowledge - 2 Citações

Scopus - 2 Citações

Outras Informações

ID Authenticus: P-00Y-HJS

DOI: 10.1007/s10701-023-00703-z

Abstract (EN): 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.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 11