Study of the stability of a SEIRS model for computer worm propagation

DOI10.1016/j.physa.2017.03.023zbMath1495.68017OpenAlexW2596433524MaRDI QIDQ2145578

L. Hernández Encinas, J. D. Hernández Guillén, Angel Martín del Rey

Publication date: 17 June 2022

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physa.2017.03.023

zbMATH Keywords

stability analysismathematical modelbasic reproductive numbermalware propagationcomputer worms

Mathematics Subject Classification ID

Epidemiology (92D30) Internet topics (68M11)

Related Items (12)

\(\mathrm{SEI^2RS}\) malware propagation model considering two infection rates in cyber-physical systems ⋮ The dynamics of an SEIRS-QV malware propagation model in heterogeneous networks ⋮ A rumor spreading model based on two propagation channels in social networks ⋮ Dynamics and control of worm epidemic based on mobile networks by SEIQR-type model with saturated incidence rate ⋮ Bifurcation analysis of an e-SEIARS model with multiple delays for point-to-group worm propagation ⋮ Dynamics of a controlled discontinuous computer worm system ⋮ Modeling malware propagation using a carrier compartment ⋮ Hopf bifurcation analysis for an epidemic model over the Internet with two delays ⋮ Stability and Hopf bifurcation of a delayed epidemic model of computer virus with impact of antivirus software ⋮ State feedback impulsive control of computer worm and virus with saturated incidence ⋮ Stability analysis and control strategies for worm attack in mobile networks via a VEIQS propagation model ⋮ Global stability for a SEIQR worm propagation model in mobile Internet

Cites Work

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• Mathematical model on the transmission of worms in wireless sensor network
• Stability analysis of VEISV propagation modeling for network worm attack
• Dynamic model of worms with vertical transmission in computer network
• On the definition and the computation of the basic reproduction ratio \(R_ 0\) in models for infectious diseases in heterogeneous populations
• Uniform persistence and flows near a closed positively invariant set
• Impact of time delay on the dynamics of SEIR epidemic model using cellular automata
• Global stability of VEISV propagation modeling for network worm attack
• A Geometric Approach to Global-Stability Problems

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