4.7 Article

Distorted stability pattern and chaotic features for quantized prey-predator-like dynamics

相关参考文献

注意:仅列出部分参考文献,下载原文获取全部文献信息。
Article Physics, Fluids & Plasmas

Noncommutative phase-space Lotka-Volterra dynamics: The quantum analog

A. E. Bernardini et al.

Summary: The study investigates the Lotka-Volterra dynamics within the framework of Weyl-Wigner quantum mechanics. The research finds that the variables in LV dynamics can be interpreted as canonical variables in quantum mechanics, allowing for the understanding of the changes in the number of individuals in a prey-predator system. The results provide insights into how classical and quantum evolution coexist and offer a quantification of quantum analog effects.

PHYSICAL REVIEW E (2022)

Article Optics

Generalized phase-space description of nonlinear Hamiltonian systems and Harper-like dynamics

A. E. Bernardini et al.

Summary: Phase-space features of one-dimensional systems with a constrained Hamiltonian are obtained analytically using Wigner functions and currents. Profiles for thermodynamic and Gaussian ensembles are identified, and the results are specialized to the Harper Hamiltonian system. This generalized Wigner approach serves as a probe for quantumness and classicality of Harper-like systems, and it can be extended to any quantum system described by specific Hamiltonians.

PHYSICAL REVIEW A (2022)

Review Microbiology

Modelling approaches for studying the microbiome

Manish Kumar et al.

NATURE MICROBIOLOGY (2019)

Article Biology

When very slow is too fast - collapse of a predator-prey system

Anna Vanselow et al.

JOURNAL OF THEORETICAL BIOLOGY (2019)

Article Multidisciplinary Sciences

Asymptotic stability of a modified Lotka-Volterra model with small immigrations

Takeru Tahara et al.

SCIENTIFIC REPORTS (2018)

Article Multidisciplinary Sciences

Stability criteria for complex microbial communities

Stacey Butler et al.

NATURE COMMUNICATIONS (2018)

Article Evolutionary Biology

Species Distributions, Quantum Theory, and the Enhancement of Biodiversity Measures

Raimundo Real et al.

SYSTEMATIC BIOLOGY (2017)

Article Physics, Multidisciplinary

Non-classicality from the phase-space flow analysis of the Weyl-Wigner quantum mechanics

Alex E. Bernardini et al.

Article Physics, Fluids & Plasmas

Extinction of oscillating populations

Naftali R. Smith et al.

PHYSICAL REVIEW E (2016)

Article Biochemistry & Molecular Biology

Detection and decay rates of prey and prey symbionts in the gut of a predator through metagenomics

Debora P. Paula et al.

MOLECULAR ECOLOGY RESOURCES (2015)

Article Multidisciplinary Sciences

A thermodynamic theory of ecology: Helmholtz theorem for Lotka-Volterra equation, extended conservation law, and stochastic predator-prey dynamics

Yi-An Ma et al.

PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES (2015)

Article Chemistry, Multidisciplinary

Predator-Prey Molecular Ecosystems

Teruo Fujii et al.

ACS NANO (2013)

Article Physics, Multidisciplinary

Wigner Flow Reveals Topological Order in Quantum Phase Space Dynamics

Ole Steuernagel et al.

PHYSICAL REVIEW LETTERS (2013)

Editorial Material Ecology

Preface to Workshop on Emergence of Novelties, 9-16 October 2008, Pacina, Siena, Italy

Sven Erik Jorgensen et al.

ECOLOGICAL MODELLING (2009)

Article Physics, Fluids & Plasmas

Extinction in the Lotka-Volterra model

Matthew Parker et al.

PHYSICAL REVIEW E (2009)

Article Education, Scientific Disciplines

Wigner functions and Weyl transforms for pedestrians

William B. Case

AMERICAN JOURNAL OF PHYSICS (2008)

Article Physics, Multidisciplinary

Quantum and Ecosystem Entropies

A. D. Kirwan

ENTROPY (2008)

Article Ecology

Measuring q-bits in three-trophic level systems

Sergio Henrique Vannucchi Leme de Mattos et al.

ECOLOGICAL MODELLING (2007)

Article Physics, Fluids & Plasmas

Coexistence versus extinction in the stochastic cyclic Lotka-Volterra model

Tobias Reichenbach et al.

PHYSICAL REVIEW E (2006)

Article Physics, Fluids & Plasmas

Phase transition in a spatial Lotka-Volterra model -: art. no. 061904

G Szabó et al.

PHYSICAL REVIEW E (2001)