The Experts below are selected from a list of 13818 Experts worldwide ranked by ideXlab platform
George Leitmann - One of the best experts on this subject based on the ideXlab platform.
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on the attainment of the maximum sustainable yield in the verhulst lotka volterra Model
Automatica, 2019Co-Authors: Luca Lambertini, George LeitmannAbstract:Abstract We reformulate the Verhulst–Lotka–Volterra Model of natural resource extraction under the alternative assumptions of Cournot behaviour and perfect competition, to revisit the tragedy of commons vs the possibility of sustainable harvesting. After a brief layout of the open-loop solution including the Ramsey rule, we rely on the state-redundancy property and the consequent strong time consistency of the static equilibrium output to investigate the different impact of demand elasticity on the regulator’s possibility of driving industry harvest to the maximum sustainable yield in the two settings. The presence of a flat demand function offers the authority a fully effective regulatory tool in the form of the exogenous price faced by perfectly competitive firms, to drive their collective harvest rate to the maximum sustainable yield. The same cannot happen under Cournot competition, as in this case the price is endogenous and the regulator’s policy is confined to limiting access to the common pool.
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on the attainment of the maximum sustainable yield in the verhulst lotka volterra Model
Social Science Research Network, 2017Co-Authors: Luca Lambertini, George LeitmannAbstract:We reformulate the Verhulst-Lotka-Volterra Model of natural resource extraction under the alternative assumptions of Cournot behaviour and perfect competition, to revisit the tragedy of commons vs the possibility of sustainable harvesting. We stress the different impact of demand elasticity on the regulator’s possibility of driving industry harvest to the maximum sustainable yield in the two settings. The presence of a flat demand function offers the authority a fully effective regulatory tool in the form of the exogeneous price faced by perfectly competitive firms, to drive their collective harvest rate at the maximum sustainable yield. The same cannot happen under Cournot competition, as in this case the price is endogenous and the regulator’s policy is confined to limiting access to the common pool.
Ke Wang - One of the best experts on this subject based on the ideXlab platform.
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global asymptotic stability of a stochastic lotka volterra Model with infinite delays
Communications in Nonlinear Science and Numerical Simulation, 2012Co-Authors: Meng Liu, Ke WangAbstract:Abstract In this paper, sufficient criteria for global asymptotic stability of a general stochastic Lotka–Volterra system with infinite delays are established. Some simulation figures are introduced to support the analytical findings.
Luca Lambertini - One of the best experts on this subject based on the ideXlab platform.
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on the attainment of the maximum sustainable yield in the verhulst lotka volterra Model
Automatica, 2019Co-Authors: Luca Lambertini, George LeitmannAbstract:Abstract We reformulate the Verhulst–Lotka–Volterra Model of natural resource extraction under the alternative assumptions of Cournot behaviour and perfect competition, to revisit the tragedy of commons vs the possibility of sustainable harvesting. After a brief layout of the open-loop solution including the Ramsey rule, we rely on the state-redundancy property and the consequent strong time consistency of the static equilibrium output to investigate the different impact of demand elasticity on the regulator’s possibility of driving industry harvest to the maximum sustainable yield in the two settings. The presence of a flat demand function offers the authority a fully effective regulatory tool in the form of the exogenous price faced by perfectly competitive firms, to drive their collective harvest rate to the maximum sustainable yield. The same cannot happen under Cournot competition, as in this case the price is endogenous and the regulator’s policy is confined to limiting access to the common pool.
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on the attainment of the maximum sustainable yield in the verhulst lotka volterra Model
Social Science Research Network, 2017Co-Authors: Luca Lambertini, George LeitmannAbstract:We reformulate the Verhulst-Lotka-Volterra Model of natural resource extraction under the alternative assumptions of Cournot behaviour and perfect competition, to revisit the tragedy of commons vs the possibility of sustainable harvesting. We stress the different impact of demand elasticity on the regulator’s possibility of driving industry harvest to the maximum sustainable yield in the two settings. The presence of a flat demand function offers the authority a fully effective regulatory tool in the form of the exogeneous price faced by perfectly competitive firms, to drive their collective harvest rate at the maximum sustainable yield. The same cannot happen under Cournot competition, as in this case the price is endogenous and the regulator’s policy is confined to limiting access to the common pool.
Felix Roy - One of the best experts on this subject based on the ideXlab platform.
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properties of equilibria and glassy phases of the random lotka volterra Model with demographic noise
Physical Review Letters, 2021Co-Authors: Felix Roy, Chiara Cammarota, Ada Altieri, Giulio BiroliAbstract:We study a reference Model in theoretical ecology, the disordered Lotka-Volterra Model for ecological communities, in the presence of finite demographic noise. Our theoretical analysis, valid for symmetric interactions, shows that for sufficiently heterogeneous interactions and low demographic noise the system displays a multiple equilibria phase, which we fully characterize. In particular, we show that in this phase the number of locally stable equilibria is exponential in the number of species. Upon further decreasing the demographic noise, we unveil the presence of a second transition like the so-called "Gardner" transition to a marginally stable phase similar to that observed in the jamming of amorphous materials. We confirm and complement our analytical results by numerical simulations. Furthermore, we extend their relevance by showing that they hold for other interacting random dynamical systems such as the random replicant Model. Finally, we discuss their extension to the case of asymmetric couplings.
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numerical implementation of dynamical mean field theory for disordered systems application to the lotka volterra Model of ecosystems
Journal of Physics A, 2019Co-Authors: Felix Roy, Giulio Biroli, Guy Bunin, Chiara CammarotaAbstract:Dynamical mean field theory (DMFT) is a tool that allows one to analyze the stochastic dynamics of N interacting degrees of freedom in terms of a self-consistent 1-body problem. In this work, focusing on Models of ecosystems, we present the derivation of DMFT through the dynamical cavity method, and we develop a method for solving it numerically. Our numerical procedure can be applied to a large variety of systems for which DMFT holds. We implement and test it for the generalized random Lotka–Volterra Model, and show that complex dynamical regimes characterized by chaos and aging can be captured and studied by this framework.
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numerical implementation of dynamical mean field theory for disordered systems application to the lotka volterra Model of ecosystems
arXiv: Disordered Systems and Neural Networks, 2019Co-Authors: Felix Roy, Giulio Biroli, Guy Bunin, Chiara CammarotaAbstract:Dynamical mean field theory (DMFT) is a tool that allows to analyze the stochastic dynamics of $N$ interacting degrees of freedom in terms of a self-consistent $1$-body problem. In this work, focusing on Models of ecosystems, we present the derivation of DMFT through the dynamical cavity method, and we develop a method for solving it numerically. Our numerical procedure can be applied to a large variety of systems for which DMFT holds. We implement and test it for the generalized random Lotka-Volterra Model, and show that complex dynamical regimes characterized by chaos and aging can be captured and studied by this framework.
Giulio Biroli - One of the best experts on this subject based on the ideXlab platform.
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properties of equilibria and glassy phases of the random lotka volterra Model with demographic noise
Physical Review Letters, 2021Co-Authors: Felix Roy, Chiara Cammarota, Ada Altieri, Giulio BiroliAbstract:We study a reference Model in theoretical ecology, the disordered Lotka-Volterra Model for ecological communities, in the presence of finite demographic noise. Our theoretical analysis, valid for symmetric interactions, shows that for sufficiently heterogeneous interactions and low demographic noise the system displays a multiple equilibria phase, which we fully characterize. In particular, we show that in this phase the number of locally stable equilibria is exponential in the number of species. Upon further decreasing the demographic noise, we unveil the presence of a second transition like the so-called "Gardner" transition to a marginally stable phase similar to that observed in the jamming of amorphous materials. We confirm and complement our analytical results by numerical simulations. Furthermore, we extend their relevance by showing that they hold for other interacting random dynamical systems such as the random replicant Model. Finally, we discuss their extension to the case of asymmetric couplings.
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numerical implementation of dynamical mean field theory for disordered systems application to the lotka volterra Model of ecosystems
Journal of Physics A, 2019Co-Authors: Felix Roy, Giulio Biroli, Guy Bunin, Chiara CammarotaAbstract:Dynamical mean field theory (DMFT) is a tool that allows one to analyze the stochastic dynamics of N interacting degrees of freedom in terms of a self-consistent 1-body problem. In this work, focusing on Models of ecosystems, we present the derivation of DMFT through the dynamical cavity method, and we develop a method for solving it numerically. Our numerical procedure can be applied to a large variety of systems for which DMFT holds. We implement and test it for the generalized random Lotka–Volterra Model, and show that complex dynamical regimes characterized by chaos and aging can be captured and studied by this framework.
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numerical implementation of dynamical mean field theory for disordered systems application to the lotka volterra Model of ecosystems
arXiv: Disordered Systems and Neural Networks, 2019Co-Authors: Felix Roy, Giulio Biroli, Guy Bunin, Chiara CammarotaAbstract:Dynamical mean field theory (DMFT) is a tool that allows to analyze the stochastic dynamics of $N$ interacting degrees of freedom in terms of a self-consistent $1$-body problem. In this work, focusing on Models of ecosystems, we present the derivation of DMFT through the dynamical cavity method, and we develop a method for solving it numerically. Our numerical procedure can be applied to a large variety of systems for which DMFT holds. We implement and test it for the generalized random Lotka-Volterra Model, and show that complex dynamical regimes characterized by chaos and aging can be captured and studied by this framework.
