Advances in Differential Equations and Control Processes

The Advances in Differential Equations and Control Processes is an esteemed international journal indexed in the Emerging Sources Citation Index (ESCI). It publishes original research articles related to recent developments in both theory and applications of ordinary and partial differential equations, integral equations, and control theory. The journal highlights the interdisciplinary nature of these topics, with applications in physical, biological, environmental, and health sciences, mechanics, and engineering. It also considers survey articles that identify future avenues of advancement in the field.

Submit Article

ANALYZING AND SIMULATING THE OSCILLATION IN MULTIDIMENSIONAL ODD COMPETITIVE SYSTEMS

Authors

  • Yury I. Brodsky

Keywords:

population models, multidimensional competition, oscillation, modeling, simulation

DOI:

https://doi.org/10.17654/0974324324018

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.

Received: April 19, 2024
Accepted: May 11, 2024

References

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.

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

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

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

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

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

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

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.

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.

Downloads

Published

2024-05-28

Issue

Vol. 31 No. 3 (2024)

Section

Articles

License

Copyright (c) 2024 Pushpa Publishing House, Prayagraj, India

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Licensing Terms:

Attribution: Credit Pushpa Publishing House as the original publisher, including title and author(s) if applicable.

Non-Commercial Use: For non-commercial purposes only. No commercial activities without explicit permission.

No Derivatives: Modifying or creating derivative works not allowed without written permission.

Contact Pushpa Publishing House for more info or permissions.

How to Cite

ANALYZING AND SIMULATING THE OSCILLATION IN MULTIDIMENSIONAL ODD COMPETITIVE SYSTEMS. (2024). Advances in Differential Equations and Control Processes, 31(3), 335-346. https://doi.org/10.17654/0974324324018

Similar Articles

1-10 of 14

You may also start an advanced similarity search for this article.