The Study Of COVID-19 Model Based On Environmental Viruses

In recent years,COVID-19 epidemic has been raging around the world.It spreads strongly,fastly and widely.People infected with COVID-19 have various symptoms,resulting in varying degrees of physical and psychological damage.The source of infection,the transmission pathway,and the susceptible person are three conditions for the transmission of infectious diseases.Therefore,in addition to controlling the source of infection and protecting the susceptible population,curbing the spread of COVID-19 also requires controlling human-to-human transmission and environmental virus transmission.In this paper,mathematical models are established based on multiple ways of the spread of COVID-19,and dynamic analyses of models are carried out,as well as numerical simulations and optimal control.Finally,we put forward reasonable measures to alleviate the spread of COVID-19.The second chapter establishes a SEIRW COVID-19 dynamic model with environmental viruses.Through the next-generation matrix method,the basic reproduction number is obtained.Using Hurwitz criterion and matrix theory,the stability of equilibrium is analyzed.Applying Pontryagin maximum principle,the optimal control strategy for dealing with COVID-19 is found.In addition,numerical simulations are used to verify the theoretical research,and partial rank correlation coefficient is used to carry out parameter sensitivity analysis.Then,early data fitting has been carried out,and it is shown that the model without the environmental viruses has underestimated the number of infected people.Finally,we suggest that government departments step up efforts to clean up the environment and the public raise their awareness of self-protection.The third chapter considers that the series of measures adopted by China to isolate the epidemic has a very critical role in controlling the epidemic,so the quarantine warehouse is added to the second chapter to build the SEIQRW model.The basic reproduction number is calculated and the stability of the equilibrium is analyzed.Sensitivity analysis shows that both the human infection rate and the environmental virus infection rate are positively correlated with the basic reproduction number.Data fitting and numerical simulation verify the correctness of the theoretical results.The optimal control strategy provides a theoretical basis for epidemic prevention and control policies.The article strongly demonstrates that isolation of infected people and timely elimination of polluted environment can effectively reduce infection rates and slow down the spread of COVID-19.The last chapter summarizes the full text,thinks about the shortcomings,and puts forward the prospect of the follow-up work.