ANALYZING AND SIMULATING THE OSCILLATION IN MULTIDIMENSIONAL ODD COMPETITIVE SYSTEMS

Yury I. Brodsky

Yury I. Brodsky Federal Research Center "Computer Science and Control" of the Russian Academy of Sciences 40 Vavilova str., Moscow 119333, Russia

Article ID: 2441

Keywords: population models, multidimensional competition, oscillation, modeling, simulation

Abstract

We consider a multidimensional odd competitive model, which is a generalization to a multidimensional (more than two dimensions) case of both the P. Verhulst logistic model and the A. Lotka and V. Volterra competition model.

References

[1]P. Verhulst, Notice sur la loi que la population suit dans son accroissement, Correspondance mathématique et physique 10 (1838), 113-121. Retrieved 06 December 2023.

[2]V. Volterra, Lecóns sur la théorie mathematique de la lutte pour la vie, Gauthier-Villars, Paris, 1931, p. 214.

[3]Y. I. Brodsky, Oscillations in multidimensional odd competitive systems, Modeling, Decomposition and Optimization of Complex Dynamic Processes 25(1) (2010), 7-24 (in Russian).

[4]R. Gray, Toeplitz and circulant matrices: a review, Foundations and Trends, 2006, p. 100. DOI:10.1561/0100000006.

[5]G. M. Fikhtengol’ts, The Fundamentals of Mathematical Analysis, Vol. 2, Pergamon, 1965, p. 540.

[6]Y. I. Brodsky, Tolerance, Intolerance, Identity: Simple math models of cultures’ interaction, LAP LAMBERT Academic Publishing, 2011, p. 68.

[7]I. Grigoryev, AnyLogic 7 in Three Days, 2 ed., AnyLogic, 2015, p. 256.

[8]V. A. Bobrov and Yu. I. Brodsky, Simulating the soft power effect in two- dimensional models of A. Lotka – V. Volterra, WSEAS Transactions on Computers 22 (2023), 171-176. DOI:10.37394/23205.2023.22.20.

[9]V. A. Bobrov and Yu. I. Brodsky, Modeling of double standards and soft power in cellular automata competition systems, E3S Web of Conf. 405 (2023), 02016. DOI:10.1051/e3sconf/202340502016.