Dynamics of a nonlinear SIQRS computer virus spreading model with two delays

In this paper, a Susceptible-Infected-Quarantined-Susceptible (SIQRS) computer virus propagation model with nonlinear infection rate and two-delay is formulated. The local stability of virus-free equilibrium without delay is examined. Furthermore, we also expound and prove that time-delay plays a cr...

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Bibliographic Details
Published inAIMS mathematics Vol. 6; no. 4; pp. 4083 - 4104
Main Authors Yang, Fangfang, Zhang, Zizhen
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2021
Subjects
bifurcation
delays
nonlinear infection rate
quarantine strategy
siqrs computer virus propagation model
stability
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Summary:In this paper, a Susceptible-Infected-Quarantined-Susceptible (SIQRS) computer virus propagation model with nonlinear infection rate and two-delay is formulated. The local stability of virus-free equilibrium without delay is examined. Furthermore, we also expound and prove that time-delay plays a crucial role in sufficient conditions for the local stability of the virus-existence equilibrium and the occurrence of Hopf bifurcation at the critical value. Especially, direction and stability of the Hopf bifurcation are demonstrated. Finally, some numerical simulations are presented in order to verify the theoretical results.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2021242