519.6 Agent model of two competing populations taking into account their structurality

Belotelov N. V. (Bauman Moscow State Technical University/Institution of Russian Academy of Sciences Dorodnicyn Computing Centre of RAS), Brovko A. V. (Bauman Moscow State Technical University)


doi: 10.18698/2309-3684-2022-3-7183

The article describes an agent simulation model of two populations competing for one resource. In the model, it is assumed that an individual dies if its mass-energy becomes non-positive. It is assumed that individuals of each of the populations under consideration can form flocks, this allows populations to increase their competitiveness. In the model, this is formalized through the ability to organize networks connecting individuals of the same species. At the same time, individuals can form only a certain number of connections with neighbors. The concept of "valence" is introduced in the model to describe this. It is assumed that within each network there is an instantaneous redistribution of the resource available to all members of the network by each member of the pack. In addition to the model, the article describes the structure of the program with which simulation experiments were carried out. As a result of the simulation experiments, the following was obtained. If the resource is highly productive, then in the process of competitive interaction, the population wins, the agents of which have a large "valence". And in the case of a low-productive resource, individuals of a population with a lower "valence" win in competitive interaction. This is due to the fact that more complex structures require more energy to maintain the flock.

Gause G.F. Bor'ba za sushchestvovanie [Struggle for existence]. Moscow, Izhevsk, Institute of Computer Research Publ., 2002, 159 p.
Abrosov N.S., Kovrov B.G., Cherepanov O.A. Ekologicheskie mekhanizmy sosushchestvovaniya i vidovoj regulyacii [Ecological mechanisms of coexistence and species regulation]. Novosibirsk, Nauka: Siberian Branch Publ., 1982, 301 p.
Bazykin A.D. Nelinejnaya dinamika vzaimodejstvuyushchih populyacij[Nonlinear dynamics of interacting populations]. Moscow, Izhevsk, Institute of Computer Research Publ., 2003, 368 p.
Volterra V. Matematicheskaya teoriya bor'by za sushchestvovanie [Mathematical theory of the struggle for existence]. Moscow, Nauka Publ., 1976, 286 p.
Svirezhev Yu.M., Logofet D.O. Ustojchivost' biologicheskih soobshchestv[Stability of biological communities]. Moscow, Mir Publ., 1983, 319 p.
Belotelov N.V., Konovalenko I.A. Modeling the impact of mobility of individuals on space-time dynamics of a population by means of a computer model. Computer Research and Modeling, 2016, vol. 8, no. 2, pp. 297–305.
Belotelov N.V., Konovalenko I.A., Nazarova V.M., Zaitsev V.A. Some features of group dynamics in the resource-consumer agent model. Computer Research and Modeling, 2018, vol. 10, no. 6, pp. 833–850.
Belotelov N.V., Pavlov S.A. Agent-based model of cultural interactions on nonmetrizable hausdorff spaces. Mathematical Modeling and Computational Methods, 2021, no. 3, pp. 105–119.
Dimitrienko Y.I., Dimitrienko O.Y. A model of multidimensional deformable continuum for forecasting the dynamics of large scale array of individual data. Mathematical Modeling and Computational Methods, 2016, no. 1, pp. 105–122.
Belotelov N.V. Simulation model of migration processes in countries taking into account the level of education. Mathematical Modeling and Computational Methods, 2019, no. 4, pp. 91–99.
Mac Nally R. Modelling confinement experiments in community ecology: Differential mobility among competitors. Ecological Modelling, 2000, vol. 129, iss. 1, pp. 65–85.
Gallegos A., Mazzag B., Mogilner A. Two continuum models for the spreading of myxobacteria swarms. Bulletin of Mathematical Biology, 2006, vol. 68, iss. 4, pp. 837–861.
Lee C.T., Hoopes M.F., Diehl J., Gilliland W., Huxel G., Leaver E.V., Mccann K., Umbanhowar J., Mogilner A. Non-local concepts and models in biology. Journal of Theoretical Biology, 2001, vol. 320, iss. 2, pp. 201–219.
Ebeling V., Engel A., Feistel R. Fizika processov evolyucii [Physics of evolution processes]. Moscow, URSS Publ., 2001, 326 p.

Белотелов Н.В., Бровко А.В. Агентная модель двух конкурирующих популяций с учетом их структурности. Математическое моделирование и численные методы, 2022, № 3, с. 71–83.

Download article

Количество скачиваний: 35