Hopf bifurcation analysis for a delayed nonlinear-SEIR epidemic model on networks

Barman, Madhab; Mishra, Nachiketa

doi:10.1016/j.chaos.2023.114351

Cited by 5 publications

(1 citation statement)

References 28 publications

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“…Interested readers can delve into classic and advanced results on SIR/SEIR mathematical models and SIR/SEIR mathematical models with delays in works such as those by [12][13][14][15][16][17][18][19][20][21][22][23][24] and references therein. Most recently, Barman and Mishra [25,26] introduced a graph Laplacian diffusion into SIR/SEIR type network models and carried out Hopf bifurcation analysis.…”

Section: Introductionmentioning

confidence: 99%

Bifurcation Analysis for an OSN Model with Two Delays

Wang,

Wang

2024

Mathematics

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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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