Труды сотрудников ИВМ СО РАН

[Текст] : статья / M. G. Sadovsky // Journal of Siberian Federal University. Mathematics & Physics = Журнал Сибирского федерального университета. Математика и физика. - 2012. - Т. 5, № 1. - С. 3-17
Аннотация: A simple model of targeted migration is studied. The model implies the global information access of the beings migrating from station to station. This approximation yields a special class of models which generater a semi-group. Various dynamic regimes, as well as the stability conditions are studied. Some further expansions of the modelling based on evolution optimality principle are considered.

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Держатели документа:
ИВМ СО РАН : 660036, Красноярск, Академгородок, 50, стр.44

Доп.точки доступа:
Садовский, Михаил Георгиевич

/ N. D. Demidenko // Annual Review in Automatic Programming. - 1985. - Vol. 12, Is. PART 1. - P425-428 . - ISSN 0066-4138
Аннотация: The optimal control problem by complicated chemical engineering objects has been stated and solved. There were obtained necessary conditions of optimality of governed flows of complicated objects with distributed parameters. The problem of choice of optimal control disturbances for an industrial plant of alkylation was solved. В© 1985.

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Держатели документа:
Computer Center, SB /S USSR, Krasnoyarsk, 660036, USSR
ИВМ СО РАН

Доп.точки доступа:
Demidenko, N.D.; Демиденко, Николай Данилович

/ M. G. Dmitriev, A. M. Klishevic // Systems and Control Letters. - 1984. - Vol. 4, Is. 4. - P223-226 . - ISSN 0167-6911
Аннотация: Two schemes of iterative solution of optimal control problems with fast and slow motions are considered here. The first is connected with the iterative solution of corresponding necessary optimality conditions and is adjoined to the iterative method of Ju.P. Boglaev for solution of singularly perturbed boundary value problems. The second scheme is applied to convex problems and is conceptionally close to methods of minimization with errors under computation. The distinguishing feature of both methods is the decomposition of restrictions on every iteration and the possibility of their integration in different scales of time. В© 1984 Elsevier Science Publishers B.V. (North-Holland).

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Держатели документа:
Computing Center, Academy of Sciences, Siberian Branch, Akademgorodok, Krasnoyarsk, 660036 USSR
ИВМ СО РАН

Доп.точки доступа:
Dmitriev, M.G.; Klishevic, A.M.

[Текст] : статья / M. G. Sadovsky, M. Yu. Senashova // Journal of Siberian Federal University. Mathematics & Physics = Журнал Сибирского федерального университета. Математика и физика. - 2013. - Т. 6, № 1. - С. 105-113
   Перевод заглавия: Локальная информированность может приводить к хаотической миграции
Аннотация: A novel model of the targeted migration of a population separated into two subpopulations is proposed. The model is implemented for the local information access. Migration is not random and yields the maximization of a net reproduction, in general; specific version of this general rule is proposed. The local information access means the total lack of knowledge on the environmental conditions and transfer cost at the immigration station, for beings occupying the given station. Various regimes for the models are studied. A reciprocal chaotic-like migrations may take place, for some reasonable parameters figures.

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Держатели документа:
ИВМ СО РАН : 660036, Красноярск, Академгородок, 50, стр.44

Доп.точки доступа:
Senashova, M.Yu.; Сенашова, Мария Юрьевна; Садовский, Михаил Георгиевич

/ M. G. Sadovskii, M. Y. Senashova // J. Appl. Ind. Math. - 2014. - Vol. 8, Is. 3. - P375-384, DOI 10.1134/S1990478914030107 . - ISSN 1990-4789
Аннотация: Under study is some model of a spatially distributed two-species population. The species interact according to the predator-prey pattern. Each species is distributed over two stations. The migration of individuals between the stations are purposeful and maximize the breeding coefficient for each species. In addition, each species pursues its reflexive strategy of behavior to determine the optimal migration flow. © 2014 Pleiades Publishing, Ltd.

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Держатели документа:
Institute of Computer Modeling, Akademgorodok, d. 50, str. 44, Krasnoyarsk, 660036, Russian Federation

Доп.точки доступа:
Sadovskii, M.G.; Садовский, Михаил Георгиевич; Senashova, M.Y.; Сенашова, Мария Юрьевна

[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