Research On The Model Of Virus Propagation In Predator-type Delayed Wireless Sensor Networks

With the widespread application of wireless sensor networks in production and daily life,the security issues of wireless sensor networks caused by virus attacks have become increasingly prominent.Network viruses have many similar characteristics to natural biological populations.According to the biological characteristics of viruses,using the principles of system dynamics,establishing a biomathematical model to study the population dynamics behavior of viruses in wireless sensor networks can effectively prevent the spread of viruses.Predation models are important tools for studying the dynamic behavior of virus populations,which can effectively reveal the dynamic characteristics of virus transmission,and are the focus of research by scholars at home and abroad.Based on the principles of system dynamics,this thesis establishes two virus propagation models for predatory wireless sensor networks with bilinear and nonlinear occurrence rates that consider time delays.The specific research contents are as follows:(1)A virus propagation model for predatory wireless sensor networks with bilinear incidence and time delay factors is proposed.Considering the latency delay in the virus propagation process in wireless sensor networks,the algebraic expression of the equilibrium point of the model is calculated.Taking the delay as the research parameter,the conditions for the system to produce local asymptotic stability are analyzed and calculated through relevant theoretical analysis,and the sufficient conditions for the system to appear Hopf bifurcation are derived through calculation.With the help of existing theories,the properties of bifurcation periodic solutions near the critical values of delay parameters are calculated and analyzed.With the help of matlab,a set of numerical simulations are used to simulate the impact of changes in time-delay parameters on system stability,which more clearly validates the conclusions obtained from theoretical calculations.(2)A predatory type wireless sensor network virus propagation model with Holling II functional response function and two delay factors is proposed.Considering the existence of both latency and immunity delays,the algebraic expression of the positive equilibrium point of the model is calculated,and six combinations of the two delays are discussed in different situations,The conditions for local asymptotic stability and instability of the system under the influence of different combinations of two time-delay parameters are calculated and analyzed.With the help of existing theories,the algebraic formula for calculating the bifurcation periodic solution near the critical value of the delay parameter is calculated and analyzed.With the aid of matlab,the effect of the delay parameter on the population dynamics is simulated using a set of numerical simulations,which more clearly validates the conclusions obtained from theoretical calculations.The research results show that when the lag factor is below the critical value,the spread of the virus in the network will be effectively controlled.When the lag factor is above the critical value,the instability of the model is not conducive to the control of the virus.Based on the research results of the model,the following suggestions are proposed:First,regularly scan the network for viruses,discover the existence of viruses in a timely manner,and take measures;Secondly,timely updating the anti virus software in the network to improve the network’s resistance to virus attacks can effectively suppress the outbreak of viruses;Thirdly,managers of wireless sensor networks can effectively save node battery power and,to a certain extent,inhibit the spread of viruses in the network by designing a reasonable node sleep mechanism and adjusting heavily infected nodes to enter a sleep state when necessary.