Труды сотрудников ИВМ СО РАН

/ V. I. Bykov, E. P. Volokitin, S. A. Treskov // Combust. Explos. - 1997. - Vol. 33, Is. 3. - P294-300, DOI 10.1007/BF02671868. - Cited References: 14 . - ISSN 0010-5082РУБ Thermodynamics + Energy & Fuels + Engineering, Multidisciplinary + Engineering, Chemical + Materials Science, Multidisciplinary

Аннотация: A parametric analysis of the Zel'dovich-Semenov model describing the dynamics of an exothermic reaction in a well-stirred reactor is performed on the basis of bifurcation theory. Bifurcation diagrams that have not been revealed in previous studies are obtained.

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Держатели документа:
Russian Acad Sci, Computat Ctr, Siberian Div, Krasnoyarsk 660036, Russia
Russian Acad Sci, Inst Math, Siberian Div, Novosibirsk 630090, Russia
ИВМ СО РАН
Computational Center, Siberian Division, Russian Academy of Sciences, Krasnoyarsk 660036, Russian Federation
Institute of Mathematics, Siberian Division, Russian Academy of Sciences, Novosibirsk 630090, Russian Federation

Доп.точки доступа:
Bykov, V.I.; Volokitin, E.P.; Treskov, S.A.

[Text] / M. Sadovsky, M. Senashova // Bull. Math. Biol. - 2016. - Vol. 78, Is. 4. - P736-753, DOI 10.1007/s11538-016-0159-z. - Cited References:58 . - ISSN 0092-8240. - ISSN 1522-9602РУБ Biology + Mathematical & Computational Biology

Аннотация: We consider the model of spatially distributed community consisting of two species with "predator-prey" interaction; each of the species occupies two stations. Transfer of individuals between the stations (migration) is not random, and migration stipulates the maximization of net reproduction of each species. The spatial distribution pattern is provided by discrete stations, and the dynamics runs in discrete time. For each time moment, firstly a redistribution of individuals between the stations is carried out to maximize the net reproduction, and then the reproduction takes place, with the upgraded abundances. Besides, three versions of the basic model are implemented where each species implements reflexive behaviour strategy to determine the optimal migration flow. It was found that reflexivity gives an advantage to the species realizing such strategy, for some specific sets of parameters. Nevertheless, the regular scanning of the parameters area shows that non-reflexive behaviour yields an advantage in the great majority of parameters combinations.

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Держатели документа:
Inst Computat Modelling SB RAS, Krasnoyarsk, Russia.

Доп.точки доступа:
Sadovsky, Michael; Senashova, Mariya