doi: 10.18698/2309-3684-2021-4-12134
We consider a discrete analog of the classical A. Lotka – V. Volterra competition model in the environment of cellular automata. In the classical model, we know that the type of its evolution over time primarily depends on the coefficients of double standards affiliation to certain ranges of their possible values. The paper shows that the same situation holds for the discrete model either. We can see there is a soft power effect for the classical model. The classic competition model turns into a cooperative positional differential game, the limitations of which are the original system of competition equations by A. Lotka – V. Volterra. The controls are the coefficients of double standards when considering it concerning social systems. The effect of soft power is that the parties tend to compare the competitive pressure on them by the rival population with the one within the domestic population and may take the less stress of the opponent for his favorable attitude towards them, and more extensive — for the hostile manifestation. Whereas comparing the external competitive pressure with the internal pressure in this game does not give us any information — everything depends exclusively on the coefficients of double standards, which are controls and therefore are unavailable to the opponents in this game. Simulation experiments with the discrete analog of the competition model implemented in the cellular automata environment show that the effect of soft power also takes place in this case
Dorodnitsyn A.A. Izbrannye nauchnye trudy. T. 2. [Selected scientific works. Vol. 2]. Moscow, VC RAS Publ., 1997, 352 p.
Petrov I.B. O vozmozhnosti modelirovaniya socialno-istoricheskih processov [On the possibility of modeling socio-historical processes]. Modelirovanie, dekompoziciya i optimizaciya slozhnyh dinamicheskih processov [Modeling, Decomposition and optimization of complex dynamic processes], 2019, vol. 34, no. 1, pp. 5–17.
Petrov I.B. Invarianty i zakonomernosti v neravnovesnoj dinamicheski razvivayushchejsya socialnoj sisteme [Invariants and regularities in a nonequi-librium dynamically developing social system]. Modelirovanie, dekompoziciya i optimizaciya slozhnyh dinamicheskih processov [Modeling, Decomposition and optimization of complex dynamic processes], 2020, vol. 35, no. 1, pp. 5–53.
Petrov I.B. O principah postroeniya matematicheskih modelej dlya opisaniya dinamicheskih processov v bolshih socialnyh gruppah [On the principles of constructing mathematical models to describe dynamic processes in large social groups]. Modelirovanie, dekompoziciya i optimizaciya slozhnyh dinamicheskih processov [Modeling, Decomposition and optimization of complex dynamic processes], 2021, vol. 36, no. 1, pp. 5–25.
Dimitrienko Y.I., Dimitrienko O.Y. A model of multidimensional deformable continuum for forecasting the dynamics of large scale array of individual data. Маthematical Modeling and Coтputational Methods, 2016, no. 1, pp. 105–122.
Brodskii Yu.I. Mathematic modeling for intercultural relations. Proceedings of the International Scientific Conference Walls and Bridges VII. Interdisciplinarity: what does the historian require, what does he give and what does he deprive? Moscow, RSUH Publ., 2019, pp. 44–55.
Belotelov N.V. Simulation model of migration processes in countries taking into account the level of education. Маthematical Modeling and Coтputational Methods, 2019, no. 4, pp. 91–99.
Volterra V. Leçons sur la Théorie Mathématique de la Lutte pour la Vie. Paris, GauthierVillars, 1931, 240 p.
Matyushkin I.V., Zapletina M.A. Cellular automata review based on modern domestic publications. Computer Research and Modeling, 2019, vol. 11, no. 1, pp. 9–57.
Matyushkin I.V., Zapletina M.A. Influence of point defects in the structure of a cellular-automaton calculator on the solution of a 2D scalar wave equation. Маthematical Modeling and Coтputational Methods, 2017, no. 3, pp. 3–19.
Baranov R.A., Brodsky Yu.I. Igra kletochnych avtomatov dlya mnogomernych uravnenij konkurencii [A game of cellular automata for multidimensional competition equations]. Modelirovanie, dekompoziciya i optimizaciya slozhnyh dinamicheskih processov [Modeling, Decomposition and optimization of complex dynamic processes], 2018, no. 1, pp. 121–129.
Bobrov V.A., Brodsky Yu.I. Faktor konkurencii v modeli hicshnik-zhertva realizovannoi kletochnymi avtomatami [Competition factor in the predator-prey model implemented by cellular automata]. Modelirovanie, dekompoziciya i optimizaciya slozhnyh dinamicheskih processov [Modeling, Decomposition and optimization of complex dynamic processes], 2018, no. 1, pp. 130–141.
Dewdney A. Sharks and fish Wage an ecological War on the toroidal planet Wa-Tor. Scientific American, 1984, no. 12, pp. 14–22.
Brodsky Yu.I. Kolebanija v mnogomernych nechetnych konkurentnych sistemach. [Oscillations in multidimensional odd competitive systems]. Modelirovanie, dekompoziciya i optimizaciya slozhnyh dinamicheskih processov [Modeling, Decomposition and optimization of complex dynamic processes], 2010, no. 1, pp. 7–24.
Бобров В.А., Бродский Ю.И. Моделирование клеточными автоматами эффектов двойных стандартов и мягкой силы при конкуренции. Математическое моделирование и численные методы, 2021, № 4, с. 121–134.
Работа выполнена в рамках проекта АААА-А20-120122190034-9.
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