Modeling And Analysis Of The Impact Of Adaptive Defense Strategy On Virus Spreading

As is known to all,computer viruses can spread rapidly through the Internet and cause considerable damage,people may even be scared when it comes to the harm it brings.Nowadays,with the rapid development of information and communication technology,computer viruses are constantly being updated and evolved,they are richer in species,more complex in infection mechanism,more deceptive and covert,more intelligent than ever,and the ways of transmission are becoming more diverse,this is undoubtedly a very serious threat to the digital development of the world today.Accordingly,how to effectively control the spread of computer virus and minimize the harm it brings is a subject of great research value and significance.As an important development direction in virus research,computer virus propagation dynamics mainly studies the general laws of the spread of computer virus from the macro point of view.Instead of focusing too much on the technical details of the virus itself,it takes into account the overall impact of the virus,and hopes to establish a virus propagation model and a mathematical system that can describe the behavior of computer virus from a more pluralistic point of view,to provide theoretical basis and practical guidance for protecting against viruses.Based on previous research work,an adaptive defense strategy that can effectively control the spread of viruses is proposed.Based on the strategy,a new virus propagation model is proposed and its optimal control is carried out,the specific research contents and achievements are as follows:Firstly,in the previous computer virus propagation model,they did not take into account the impact of differences in computer security defense capabilities on the spread of the virus.Based on this discovery,we divided the security level of the computer,in the meantime,a system piecewise function and a virus threshold are proposed after comprehensively considering the robustness and economy of the system.On the above basis,a computer virus propagation model of adaptive defense strategy is proposed,then the equilibria of the system are calculated,and the stabilities of the equilibria are proved by the relevant mathematical theorems.Besides,some numerical simulation experiments are made to further prove the correctness of the theoretical analysis and the effectiveness of the adaptive defense strategy.Secondly,based on the proposed new model,the optimal control of it is studied,and a virus propagation model with optimal control is proposed.By introducing a control variable,the proposed new model is more close to physical truth,then it is proved that the optimal control solution exists in the system according to the related theorems of optimal control theory,and the mathematical expression of the optimal control solution is obtained by calculation.Besides,some numerical simulation experiments are made to prove the necessity of optimal control of the system.