Based On The Analysis Of Infectious Disease Model Affected By Information Dissemination

Infectious disease are widely spread among people as well as between humans and animals.In recent decades,infectious disease have been constantly breaking out.However,due to limited medical resources,lack of effective treatment strategies and relevant vaccines,infectious disease can not be effectively controlled,causing huge losses to all aspects of mankind.However,with the improvement of science and technology,people can obtain disease-related information through newspapers,news,various social platforms and short video platforms,so as to enhance their understanding of infectious disease,and then take relevant prevention and protection measures,thus reducing the risk of infection.In order to further control the spread of the disease,relevant models are established in this paper.Firstly,a new SEIR model of the contact rate as the prevalence exponential function is established,the basic regeneration number₀R is calculated,and the existence and stability of the equilibrium point are proved.It is proved that when₀R(27)1,the disease-free equilibrium is globally asymptotically stable in the feasible region.WhenR₀(29)1,there is an endemic equilibrium point,which proves that it is globally asymptotically stable in the feasible region under certain conditions.Finally,the accuracy of the theoretical results is verified by numerical simulation.Secondly,the influence of disease consciousness on susceptible population is considered According to the characteristics of consciousness influence and the spread of infectious diseases,the susceptible people in SEIR model are divided into unconscious susceptible(S _n)and conscious susceptible(S _a),and the two compartments can interact with each other,and the relevant mathematical model is established.The basic regeneration number₀R was obtained by the next generation matrix method.Two equilibrium points,disease-free equilibrium P~0and endemic equilibrium P^*were calculated.It is proved that the two equilibrium points are globally asymptotically stable under corresponding conditions.Finally,the accuracy of the theoretical results is verified by numerical simulation.