A Model of Conflict Society with External Influence.
In: Journal of Mathematical Sciences, Jg. 272 (2023-05-08), Heft 2, S. 244-266
Online
academicJournal
Zugriff:
We study a mathematical model of abstract society with redistribution of the social energy of individuals determined by two factors, namely, by the mutual competition and the presence of external influence. The behavior of the analyzed model is described by relatively simple iterative equations generating a dynamic system with discrete time. Fixed points of the system are determined. For some of these points that are attractors, their pools are partially described. In the general case, we prove the convergence of trajectories to the equilibrium states. In particular, it is shown that the individuals with the highest initial energy are doomed to be defeated if one of weaker individuals receives a sufficiently strong external support. Four examples are discussed to illustrate the most interesting cases of external influence on the dynamics of competition between individuals in an abstract society. [ABSTRACT FROM AUTHOR]
Copyright of Journal of Mathematical Sciences is the property of Springer Nature and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Titel: |
A Model of Conflict Society with External Influence.
|
---|---|
Autor/in / Beteiligte Person: | Karataeva, T. V. ; Koshmanenko, V. D. |
Link: | |
Zeitschrift: | Journal of Mathematical Sciences, Jg. 272 (2023-05-08), Heft 2, S. 244-266 |
Veröffentlichung: | 2023 |
Medientyp: | academicJournal |
ISSN: | 1072-3374 (print) |
DOI: | 10.1007/s10958-023-06414-0 |
Schlagwort: |
|
Sonstiges: |
|