A MODEL OF NEW INFORMATION DISSEMINATION IN THE SOCIETY

被引：2
|
作者：
Timofeev, S. V. [1 ]
Sukhodolov, A. P. [1 ]
机构：
[1] Baikal State Univ, 11 Lenin St, Irkutsk 664003, Russia
来源：
ST PETERSBURG POLYTECHNIC UNIVERSITY JOURNAL-PHYSICS AND MATHEMATICS | 2019年 / 12卷 / 04期
关键词：
dissemination of new information; stationary solution of system; invariant set; asymptotic stability; MEDIA;
D O I：
10.18721/JPM.12412
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In the article, a basic mathematical model of new information dissemination in the society is constructed and studied. The suggested model has been described using the system of four ordinary differential equations with square nonlinearity in the right parts. Two stationary solutions furnishing quite logical interpretation for this system were found. Two areas with various properties of stationary solutions were separated in the parameters' space of the system. The global properties of a phase pattern of the constructed dynamic system were investigated by qualitative methods of the differential equations theory. The obtained results allowed finding several possible scenarios of new information dissemination in the society.
引用
收藏
页码：119 / 134
页数：16
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