On fermionic models of a closed ecosystem with application to bacterial populations

This paper deals with the application of operatorial techniques of quantum physics to a theoretical model of closed ecosystems. The model is built by using fermionic operators whose evolution is ruled by a self--adjoint Hamiltonian operator. Adopting Heisenberg--like dynamics, we consider either linear or nonlinear models with the aim of describing the long--term survival of bacterial populations; the introduction of effective dissipative mechanisms is also considered. Moreover, a variant of linear models through the introduction of additional rules acting periodically on the system is proposed. Specifically, the evolution in a time interval is obtained by gluing the evolutions in a finite set of adjacent subintervals. In each subinterval the Hamiltonian is time independent, but the values of the parameters entering the Hamiltonian may be changed by the rules at the end of a subinterval on the basis of the actual state of the system. Within this context, a new approach is provided in order to obtain reliable results, without increasing the computational cost of the numerical integration of the differential equations involved.

• Publication year

  2016

• Venue

  Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali

• Publication date

  2016-09-06

• Fields of study

  Biology, Physics, Environmental Science

• Identifiers
  DOI 10.1478/AAPP.942A5
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

• (H, ρ)-induced dynamics and the quantum game of life

  2017cited by this paper
• $(H,\rho)$-induced dynamics and the quantum game of life

  2016cited by this paper
• An Operatorial Description of Desertification

  2016cited by this paper
• An operatorial model for long-term survival of bacterial populations

  2016cited by this paper
• A phenomenological operator description of dynamics of crowds: Escape strategies

  2014cited by this paper
• Dynamics of closed ecosystems described by operators

  2014cited by this paper
• A phenomenological operator description of interactions between populations with applications to migration

  2012cited by this paper
• Quantum Dynamics for Classical Systems: With Applications of the Number Operator

  2012influential reference
• Damping in quantum love affairs

  2011cited by this paper
• An Operator-Like Description of Love Affairs

  2010cited by this paper
• a Paradox in Life Thermodynamics:. the Long-Term Survival of Bacterial Populations

  2008cited by this paper
• Stock markets and quantum dynamics: A second quantized description

  2007cited by this paper
• Fermionic coherent states for pseudo-Hermitian two-level systems

  2006cited by this paper
• An operatorial approach to stock markets

  2006cited by this paper
• Rabi oscillations in a two-level atomic system with a pseudo-Hermitian Hamiltonian

  2004cited by this paper
• Physiological responses of Pseudomonas putida KT2442 to phosphate starvation.

  1996cited by this paper
• An essential role for the Escherichia coli DnaK protein in starvation-induced thermotolerance, H2O2 resistance, and reductive division

  1995cited by this paper
• Survival of, and induced stress resistance in, carbon-starved Pseudomonas fluorescens cells residing in soil

  1995cited by this paper
• Viability and respiratory activity of Pseudomonas syringae cells starved in buffer.

  1995cited by this paper
• Responses to nutrient starvation in Pseudomonas putida KT2442: two-dimensional electrophoretic analysis of starvation- and stress-induced proteins

  1994cited by this paper
• The transient phase between growth and nongrowth of heterotrophic bacteria, with emphasis on the marine environment.

  1987cited by this paper
• Role of protein synthesis in the survival of carbon-starved Escherichia coli K-12

  1984cited by this paper

• Generalized Hamiltonian for a two-mode fermionic model and asymptotic equilibria

  2020cites this paper
• Closed Ecosystems

  2019cites this paper
• Some Preliminaries

  2019cites this paper
• Desertification

  2019cites this paper
• Preface

  2019cites this paper
• Index

  2019cites this paper
• Escape Strategies

  2019cites this paper
• Prehistoric Data Mining

  2019cites this paper
• Why a Quantum Tool in Classical Contexts? (Part II)

  2019cites this paper
• Quantum Concepts in the Social, Ecological and Biological Sciences

  2019cites this paper
• A Simple Model of Information in Stock Markets

  2019cites this paper
• Decision-Making Driven by the Environment

  2019cites this paper
• More on Biological Systems

  2019cites this paper
• Quantum Game of Life and Its (H, ρ)-Induced Dynamics

  2019cites this paper
• Compatible and Incompatible Questions

  2019cites this paper
• (H,ρ)-induced dynamics and large time behaviors

  2018influential citation
• Political Dynamics Affected by Turncoats

  2017cites this paper
• (H,ρ)–Induced Political Dynamics: Facets of the Disloyal Attitudes Into the Public Opinion

  2017influential citation
• Political Dynamics Affected by Turncoats

  2017cites this paper
• An operatorial model for complex political system dynamics

  2017cites this paper
• (H,ρ)–Induced Political Dynamics: Facets of the Disloyal Attitudes Into the Public Opinion

  2017cites this paper