Dissertation > Excellent graduate degree dissertation topics show

Stability and Control of Computer Virus Propagation Models in Networks

Author: GaiShaoZuo
Tutor: TangGongYou
School: Ocean University of China
Course: Applied Computer Technology
Keywords: computer virus discrete-time mathematical model stability Lyapunov Method disc theorem
CLC: TP309.5
Type: PhD thesis
Year: 2013
Downloads: 6
Quote: 0
Read: Download Dissertation

Abstract


With the increasing penetration of information technology (IT)applications to engineering, business and social activities, the threat ofcomputer viruses has become an increasingly important concern for people.Understand and control the spread and development of computer viruses, andestablish mathematical model of computer virus. Reveal the reasons for theprevalence of the virus through the analysis and simulation of the model, andthen find the method of prevention and control strategies for the virus. It isimportant for people to resist computer viruses, well-maintained networksecurity and information security.The main research results of this paper are as follows:1. The state transition of computer virus propagation in networks,stability analysis and establishing mathematical model of computer virus areconsidered. In order to describe the dynamic characteristic of the virus, aconcept of “equivalent day” is presented. By using “equivalent day”, amathematical model of discrete-time computer virus is established. Thedisease-free equilibrium and the disease equilibrium are first derived from themathematical model. Then the sufficient conditions of stability for thedisease-free equilibrium are obtained by the first Lyapunov method. And thesufficient conditions of stability for the disease equilibrium are given by disctheorem. Simulation results demonstrate the effectiveness of the stabilityconditions.2. Stability analysis with vaccination of computer virus model innetworks is discussed. Firstly, establish mathematical model of computervirus. The disease-free equilibrium and the disease equilibrium are firstderived from the mathematical model. Then the sufficient conditions ofstability for the disease-free equilibrium and disease equilibrium are given.Simulation results demonstrate the effectiveness of the stability conditions. 3. Stability analysis of two-type computer viruses model in networks isdiscussed. Firstly, establish discrete-time mathematical model of computervirus. The disease-free equilibrium and the disease equilibrium are firstderived from the mathematical model. Then the sufficient conditions ofstability for the disease-free equilibrium and disease equilibrium are given.Simulation results demonstrate the effectiveness of the stability conditions.4. Stability analysis of a discrete-time computer SEIQR model innetworks is discussed. Firstly, establish discrete-time mathematical model ofcomputer virus. The disease-free equilibrium and the disease equilibrium arefirst derived from the mathematical model. Then the sufficient conditions ofstability for the disease-free equilibrium and disease equilibrium are given.Simulation results demonstrate the effectiveness of the stability conditions5. Discrete-time mathematical model of logic bomb computer virus withdelay is established by using HIV dynamic model for reference. Thedisease-free equilibrium and the disease equilibrium are first derived from themathematical model. Then the sufficient conditions of stability for thedisease-free equilibrium and disease equilibrium are given. Simulation resultsdemonstrate the effectiveness of the stability conditions.6. Control item is added to discrete-time mathematical model ofcomputer virus. The optimal control law of controlling computer virus usingclassical optimal control law is presented. Simulation results demonstrate theeffectiveness of optimal control law.

Related Dissertations

  1. Analysis and Study of Abutment Stability in Concrete High Arch Dam by Three-Dimensional Nonlinear Finite Element Method,TV642.4
  2. The Study on Structural Calculation and Analysis Method of Lattice-type Crane with Variable Cross-section Boom,TH21
  3. Power System Dynamic Voltage Stability Simulation Study Based on Precise Integration Method,TM712
  4. Stability Analysis of Systems with Time Delays,TP13
  5. Synthesis and Application of the chloro- methoxy fatty acid methyl esters,TQ414.8
  6. Research on Anti-periodic Solutions of Delayed Cellular Neural Networks without Assuming Global Lipschitz Conditions,TP183
  7. Differeces in Physical and Chemical Properties and Organic Carbon Stability of Black Soil between Cropping Systems in Northeast China,S153
  8. Effects of Continous Super Rice Planting on Contrnt of Organic Carbon and Aggregates Stability in Paddr Soils,S511
  9. Researches on System Control Theories and Their Applications of AUVs,TP13
  10. Syntheses, Structures and Properties of Metal-organic Frameworks Based on Dicarboxylate Ligands,O621.13
  11. Effects of Processing Conditions and Frozen on Emulsifying Properties of Pork Myofibrillar Proteins,TS251.1
  12. The Research of Transgenic Carnation Genetic Stability and the Impact on Soil microbial Community,S682.19
  13. Research on Genetic Stability of Recombinant Pichia Pastoris and Purification Strategy of Poifn-a,S828
  14. Exact Observability of Stochastic Time-Varing Systems and Weak Stability of Discrere-Time Stochastic Time-Invariant Systems,O231
  15. Study on Exploitation and Application of Beer Clarifier,TS262.5
  16. The DNA Cloning and RNA Interference of Some Functional Genes in Laodelphax Striatellus (Fallen),S435.112.3
  17. Submarine trenching plow machine design and stability analysis of research,TE952
  18. The Research of the Medium-sized and Small Property Insurance Companies’ Profitability Promotion Strategy in China,F842.3
  19. The Oxygen Reduction Activity of the Pt-Based Catalyst: First Principles Study,TM911.4
  20. Study on the Structure and Electrical Properties of the Doping NiCo0.2Mn1.8O4 Spinel Type,O614.81
  21. Permanence on Delays Systems with Feedback Controls,O175

CLC: > Industrial Technology > Automation technology,computer technology > Computing technology,computer technology > General issues > Security and confidentiality > Computer viruses and prevention
© 2012 www.DissertationTopic.Net  Mobile