@Article{JNMA-7-1,
author = {Oluwatayo, Ogunmiloro, Michael and Samuel, Olukayode, Ayinde},
title = {Mathematical Model Dynamics of Cyber Accounts for Vices, Recovery and Relapse},
journal = {Journal of Nonlinear Modeling and Analysis},
year = {2025},
volume = {7},
number = {1},
pages = {91--110},
abstract = {<p style="text-align: justify;">In this study, we develop a mathematical model through a system
of first-order nonlinear ordinary differential equations. This model covers the
dynamics between vulnerable cyber accounts and those implicated in cyber
vices such as bullying, scams, spreading of misinformation, and the creation of
harmful digital footprints. It further explores the mechanisms of recovery and
relapse among these accounts. Through some mathematical analysis, we apply
relevant theorems to affirm the model’s fundamental properties, which includes
its existence, uniqueness, positivity, and boundedness. We also determine
the model’s cyber vice-free and endemic equilibrium states, analyzing their
local and global asymptotic stability based on when the basic reproduction
number $R_{cb}$ is greater or less than one. Simulation exercises are conducted to
substantiate our theoretical findings and demonstrate the model’s behavior in
relation to $R_{cb}.$ The simulation outcomes reveal an escalating trend in cyber
vices, showing the necessity for targeted interventions that promote a more
secure online environment for users and the broader cyber space.</p>},
issn = {2562-2862},
doi = {https://doi.org/10.12150/jnma.2025.91},
url = {https://global-sci.com/article/91683/mathematical-model-dynamics-of-cyber-accounts-for-vices-recovery-and-relapse}
}