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ISSN 2542-1905 (Online)

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Trubetskov D. I. Phenomenon of Lotka–Volterra mathematical model and similar models. Izvestiya VUZ. Applied Nonlinear Dynamics, 2011, vol. 19, iss. 2, pp. 69-88. DOI: 10.18500/0869-6632-2011-19-2-69-88

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Phenomenon of Lotka–Volterra mathematical model and similar models

Trubetskov Dmitriy Ivanovich, Saratov State University

Lotka–Volterra mathematical model (often called «predator–prey» model) is applicable for different processes description in biology, ecology, medicine, in sociology investigations, in history, radiophysics, ets. Variants of this model is considered methodologicaly in this review. The next models are observed: model of contamination or other dirty interaction with surroundigs; model of class struggle; model of classless society – epock of huntersgatherers; military operations model; model of virus infection diseases; model of epidemic spreading, so virus of computers infection spreading; model of cognitive and(or) emotion cerebral modes. 

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