ANALYZING AND SIMULATING THE OSCILLATION IN MULTIDIMENSIONAL ODD COMPETITIVE SYSTEMS
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.
population models, multidimensional competition, oscillation, modeling, simulation.
Received: April 19, 2024; Accepted: May 11, 2024; Published: May 28, 2024
How to cite this article: Yury I. Brodsky, Analyzing and simulating the oscillation in multidimensional odd competitive systems, Advances in Differential Equations and Control Processes 31(3) (2024), 335-346. https://doi.org/10.17654/0974324324018
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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 twodimensional models of A. Lotka – V. Volterra, WSEAS Transactions onComputers 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.