The Computer Virus Spreading Model Based On Game Theory

Internet has brought great convenience to human society on communication and life from its appearing until popularization. And the rapid development of computer network systems provide favorable environment for the survival and propagation environment of computer virus. Therefore, security of Internet becomes a hot issue.Computer viruses have brought huge economic loss and psychological effects to people, so how to create a safe, reliable and effective computer virus propagation model, and predict trends in the propagation of computer viruses, then take measures to control the propagation, decrease the damage to normal users as much as possible becomes the urgent subject.This paper analyzes the basic characteristics of a computer virus, points out the advantages and disadvantages of existing models. And then analyze the own characteristics of network computer virus in the modern network environment, analyzed the impact of human factor to computer virus propagation. Create the computer virus propagation model based on Game theory, the paper select the potential attackers and normal users as both parties in networks, take different strategies according to the complexity of changes in game environmental, build two sides dynamical equations of the differential party. First solve the game equilibrium point by mathematical methods, and then use Matlab software to simulate demonstration, last analyze the impact of various parameters to the model.Firstly, the paper briefly introduced the research background, significance, status and trends. Analyze and compare the advantages and disadvantages of existing model of computer virus. Introduced the development, applications of game theory in detail, proposed computer virus propagation model on game theory, and analyze the reasonable and feasible.Secondly, analyze of the transmission process and impact factor of computer network virus in detail, take account human factor into game theory which plays a major influence network system, construct the game system using potential attackers,normal users and network management members as main participants.Following, proposed computer virus propagation model in Nash equilibrium conditions, and analyzed impact of relevant factors change. Then on this basis, taking into account both parties involved in this environment, proposed evolutionary game theory based on bounded rationality, defined dynamic functions of imitators with time in this model; established a differential kinetic equations based on complex environments of the game dynamics. first solve the system by mathematical analysis of the stable point, and then made simulate experiment with Matlab software to verify its feasibility.Finally, integrate mathematical solves and experimental analysis, analyze the potential attacker's behavior and conduct objective in various conditions, and normal users and network administrators should take the appropriate strategy to minimize losses.