Bifurcation Analysis of the Generalized Computer Virus Propagation Model
DOI:
https://doi.org/10.31642/JoKMC/2018/130106Keywords:
Computer Virus Propagation, Stability Theory, Hopf Bifurcation, Transcritical Bbifurcation, First Lyapunov CoefficientAbstract
This research examines the generalized Computer Virus Propagation Model by analyzing its local bifurcation behavior, with particular attention to Hopf and transcritical bifurcations. The stability of equilibrium points and the emergence of periodic solutions are investigated through the computation of the first Lyapunov coefficient. A detailed exploration of the system’s dynamics reveals the presence of both stable and unstable periodic solutions, depending on specific parameter choices. To support the theoretical results, numerical simulations are provided, highlighting how parameter variations significantly influence the nature of the bifurcating periodic solution.
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