Theoretical analysis and simulations of the generalized Lotka-Volterra model

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Theoretical analysis and simulations of the generalized Lotka-Volterra model.

The dynamics of generalized Lotka-Volterra systems is studied by theoretical techniques and computer simulations. These systems describe the time evolution of the wealth distribution of individuals in a society, as well as of the market values of firms in the stock market. The individual wealths or market values are given by a set of time dependent variables w(i), i=1,...,N. The equations inclu...

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Generalized Lotka - Volterra ( GLV )

The Generalized Lotka-Volterra (GLV) model: w i (t + 1) = w i (t) + a w(t) ? c w(t)w i (t) ; i = 1 provides a general method to simulate, analyze and understand a wide class of phenomena that are characterized by power-law probability distributions: P (w)dw w ?1? dw (1) and truncated Levy ights uctuations L (w).

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An Analysis on The Lotka-Volterra Food Chain Model: Stability

The food chain refers to a natural system by which energy is transmitted from one organism to another. In fact, a food chain consists of producers, consumers and decomposition. Presence of complex food web increase the stability of the ecosystem. Classical food chain theory arises from Lotka-Volterra model. In the present paper, the dynamics behavior of three level food chain is studied. A syst...

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On generalized Lotka-Volterra lattices

Generalized matrix Lotka-Volterra lattice equations are obtained in a systematic way from a “master equation” possessing a bicomplex formulation.

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Generalized Lotka-Volterra (GLV) Models

The Generalized Lotka-Volterra (GLV) model: wi(t+ 1) = λwi(t) + aw̄(t)− cw̄(t)wi(t) , i = 1, ......, N provides a general method to simulate, analyze and understand a wide class of phenomena that are characterized by power-law probability distributions: P (w)dw ∼ wdw (α ≥ 1) and truncated Levy flights fluctuations Lα(w̄).

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ژورنال

عنوان ژورنال: Physical Review E

سال: 2002

ISSN: 1063-651X,1095-3787

DOI: 10.1103/physreve.66.031102