Stability Analysis Of Two Kinds Of Epidemic Models Affected By Information

Nowadays,the pace of globalization is getting faster and faster,and people have more ways to receive information.Media reports are slowly adjusting the way we communicate with each other in our daily life and work.At the same time,it may also be one of the important sources of health information for people.It plays an important role in the spread and regulation of epidemics by providing some relevant information.Two kinds of mathematical models influenced by information are established.They are analyzed with relevant knowledge.Firstly,a new SEIRS model of vector-borne infectious diseases with psychological effects is established and studied.By using the next generation matrix method,the threshold value is obtained.The existence and stability of the equilibrium are demonstrated.When Ro<I,the disease-free equilibrium is globally asymptotically stable.When Ro>I,the disease endemic equilibrium is locally asymptotically stable.With the continuous progress of science and technology,people might quickly obtain information through the media if diseases broke out.People will change their behavior,thus reducing the number of diseases.Secondly,a model of incomplete treatment of tuberculosis with media information is established.The basic reproduction number Ro is obtained.When R0<1,the disease-free equilibrium is globally asymptotically stable.When R0>1,four positive equilibria are obtained and their stability are analyzed.The occurrence of a forward and backward bifurcation is derived.