The Optimization Of Worm Chaotic Dynamic Propagation Model Base On Quarantine And The Study On The Cost Optimizing Control

In recent years, under the high speed network environment, the worms [1] that hada dramatic increase in the frequency and virulence of such outbreaks have become oneof the major threats to the security of the internet. As the basic theory of analysis andprevention of the internet worm propagating, now with the development of the internet,worm propagation model is modeling problems of nonlinear and dynamic systems.However, the internet worm propagating is very complex and most of the above modelsdescribe the corresponding models by applying the linear equations. Most of themcannot describe the worm propagation very well.Aiming at the above problems, in this paper, new worm propagation is proposedbased on quarantine strategy, by optimizing the Two-Factor model. The chaoticdynamic propagation and cost optimizing control haven been subjected to intensivestudies. Specifically, this dissertation mainly accomplished following several researchworks and research briefs, as follows:（1）The basic relevant knowledge and technology of worm propagation modeland the theory knowledge involved in this paper are introduced. The former mainlyincludes the definition of worm, analysis of worm characteristics and analysis of wormpropagation model. The later mainly includes the chaos theory and optimal controltheory.（2）A new worm propagation model is proposed. By analyzing and optimizing ofthe Two-Factor model, new worm propagation model is proposed based on quarantine.The simulation on the new worm propagation model is carried out and the results areanalyzed.（3）The chaotic dynamic system of the new worm propagation is proposed. Basedon the chaos theory and the new worm propagation, the corresponding chaotic dynamicsystem is proposed. This paper carried out the simulation on the chaotic dynamicsystem. The analysis result is given.（4）Cost optical control system is proposed based on the Kermack-Mckendrickmodel. The cost optical control system of the Kermack-Mckendrick model is proposedbased on the Kermack-Mckendrick model and the optical control theory. The simulationon the cost optical control system is carried out and then the analysis is given. Through experiments, the new worm propagation model this dissertation proposedcould accurately predict the worm propagating. The chaotic dynamic system canprovide three critical time points in the worm propagating by the simulation results. Itwill help promptly to take precautions to prevent worm from spreading and minimizethe damage caused by the worm, by making full use of the three critical time points.The cost optical control system of the Kermack-Mckendrick model can provide theoptical control of the worm propagating with minimum cost. At last, we analyzemethods using in this dissertation, and come up with later research direction.