The Experts below are selected from a list of 13767 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.
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.
Jing Liang - One of the best experts on this subject based on the ideXlab platform.
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existence and global attractivity of positive periodic solution to a lotka Volterra Model
Nonlinear Analysis-real World Applications, 2010Co-Authors: Xiaoli Wang, Jing LiangAbstract:Abstract In this paper, by using Mawhin’s continuation theorem and constructing a suitable Lyapunov functional, a Lotka–Volterra Model with mutual interference and Holling III type functional response is studied. Some sufficient conditions are obtained for the existence, uniqueness and global attractivity of a positive periodic solution of the Model. Furthermore, the conditions are related to the interference constant m .
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.
Guang Meng - One of the best experts on this subject based on the ideXlab platform.
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wavelet basis expansion based spatio temporal Volterra kernels identification for nonlinear distributed parameter systems
Nonlinear Dynamics, 2014Co-Authors: C M Cheng, Xingjian Dong, Zhike Peng, Wenming Zhang, Guang MengAbstract:In practical industries, there are many systems belong to nonlinear distributed parameter systems (DPS); unfortunately, Modeling of nonlinear DPS is a challenging task because of the infinite-dimensional and nonlinear properties. To Model the nonlinear DPS, a spatio-temporal Volterra Model is presented with a series of spatio-temporal kernels. It can be considered as a spatial extension of the traditional Volterra Model. One question involved in Modeling a spatio-temporal functional relationship between the input and output of nonlinear distributed parameter systems using spatio-temporal Volterra series is to identify the spatio-temporal Volterra kernel functions. In addition, in order to derive a low-order Model, the Karhunen–Loeve (KL) decomposition is used for the time/space separation. The basic routine of the approach is that, first, from the system outputs, KL decomposition is used for the time/space separation, where the spatio-temporal output is decomposed into a few dominant spatial basis functions with temporal coefficients. Second, according to temporal coefficients of outputs under multilevel excitations, the Volterra series outputs of different orders are estimated with the wavelet balance method. Third, the Volterra kernel functions of different orders are separately estimated through their corresponding Volterra series outputs by expanding them with four-order B-spline wavelet on the interval (BSWI). Finally, the spatio-temporal Volterra Model can be reconstructed using the time/space synthesis. The simulation studies verify the effectiveness of the presented identification method.