Bifurcation Analysis for an OSN Model with Two Delays

被引:0
|
作者
Wang, Liancheng [1 ]
Wang, Min [1 ]
机构
[1] Kennesaw State Univ, Dept Math, Marietta, GA 30060 USA
关键词
online social network; stability region; Hopf bifurcation; DIFFERENTIAL-EQUATIONS; STABILITY;
D O I
10.3390/math12091321
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this research, we introduce and analyze a mathematical model for online social networks, incorporating two distinct delays. These delays represent the time it takes for active users within the network to begin disengaging, either with or without contacting non-users of online social platforms. We focus particularly on the user prevailing equilibrium (UPE), denoted as P*, and explore the role of delays as parameters in triggering Hopf bifurcations. In doing so, we find the conditions under which Hopf bifurcations occur, then establish stable regions based on the two delays. Furthermore, we delineate the boundaries of stability regions wherein bifurcations transpire as the delays cross these thresholds. We present numerical simulations to illustrate and validate our theoretical findings. Through this interdisciplinary approach, we aim to deepen our understanding of the dynamics inherent in online social networks.
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页数:17
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