The Research On The Model Of Infectious Diseases Based On The Influence Of Individual Behavior And Information Transmission

With the coming of new media age,public health departments and institutions generally use the mass media to make the public timely understand the information related to the disease,promote the change of people's behavior,so as to avoid infection,this shows that individual behavior and information transmission play an important role in the process of disease prevention and control.Therefore,on the basis of previous work,this paper constructs two kinds of infectious disease models with the influence of individual behavior and information transmission,and uses the theory of ordinary differential equation to analyze their behavior.First of all,using complex networks as the carrier,a kind of infectious disease model about the influence of individual behavior and information lag on disease transmission is proposed.The average degree of network is constructed to reflect the influence of individual behavior response and information lag on disease transmission,theoretical analysis by mean field method,the basic reproduction number₀R is calculated;We know when time lag length??28?0,if₀R?29?1,the only disease-free equilibrium point is globally asymptotically stable;When time lag length??0,different reaction intensities?correspond to a critical lag time?^*,which can cause Hopf bifurcation and periodic oscillation.Finally,by using numerical simulation to verify the correctness of the results.Secondly,assuming that people will still be infected after taking protective measures when the disease occurs,a SIRS epidemic model with logistic natural growth of information variables is established.the basic reproduction number₀R is calculated,We focus on the conditions of the existence and stability of disease-free equilibrium point and endemic disease equilibrium point,and obtains the conditions of Hopf bifurcation at the endemic disease equilibrium point.It is found that the change of natural capacity of information may leads to periodic oscillation of infectious diseases.By establishing the model of infectious diseases affected by individual behavior and information transmission,we can realistic reflect the characteristics of infectious disease dynamics,and help us to formulate effective and reasonable prevention and control measures.