The Optimal SEIR Model System With Bilinear Incidence Rate Of Virus Mutation Control Problem

In the present era, the outbreak of infectious diseases will bring the devastating disaster to mankind.. Because of its characteristic of variation, many new viruses appear.. Over the years, people have been fighting against all kinds of diseases. By building an appropriate mathematical model The research on the transmission of infectious diseases and the ultimate trend of the prediction of the development of infectious diseases, has become an important area of the application of mathematical knowledge.. With the rapid development of the infectious disease dynamics, the research on the infectious disease model is the main trend of the research and has achieved many results.. At present, the epidemic of infectious diseases is studied The main methods of the law are:descriptive study, analytical study, experimental study and theoretical study. In addition to some typical research methods, there are some sub basins, mixed dynamical systems such as Pei The method provides a new reference for theoretical research.. One of the most abundant class of differential systems with description of infectious disease model. Scholars at home and abroad with the help of the limit system theory and constructing appropriate Liapunov function method. For a class with bilinear incidence rate of the virus mutation SEIR model Are discussed, when the input without disease, find the threshold of existence of endemic equilibrium is, find the disease-free equilibrium point and local disease equilibrium is globally asymptotic necessary and sufficient condition for the stability. The important basis for judging the long-term existence of the disease is the stability.. In this paper mainly studies the epidemic model with the virus mutation, established with bilinear incidence rate of variation of the virus SEI Rinfectious disease model, given the conditions for the existence of the disease-free equilibrium and the endemic equilibrium point; with Liapunovas a function to prove the global asymptotic stability of the disease-free equilibrium point and local disease equilibrium; finally, the virus mutation rate were used as the control variables, the norm index function as a measure of control variables of the standard that the The existence of optimal control element for model.