Dynamic Behavior Analysis And Control Of Random Delayed Infectious Disease Model

Epidemic diseases are a major problem that accompanies human survival.In recent years,more and more mathematical experts have established mathematical models of epidemic diseases to study dynamic behaviors,laying a certain theory for the development of epidemic diseases.In nature,epidemic diseases are inevitably affected by random environmental factors.Therefore,the establishment of stochastic differential equations can more accurately reflect actual phenomena.On the other hand,during the spread of epidemic diseases,the speed of disease transmission is not only related to the present but also the past.Stochastic delay differential equations can better characterize the behavior of epidemic diseases than differential equations and are closer to reality.This paper mainly studied the dynamic behavior of stochastic epidemic models,the delayed epidemic models,and formulated some reasonable control strategies.In practice,it can effectively control the epidemic situation and prevent the spread of epidemic diseases.As we all know,the research on the dynamic behavior of the stochastic epidemic disease model has achieved certain results,but there is still a lot of work worthy of our further exploration.The innovations of this paper are mainly summarized in the following two aspects:1.Based on a class of stochastic epidemic disease models,considering the relationship between susceptible and recovered individuals,such research provides a certain theoretical basis for the complexity of the actual situation.2.In addition to the common clinical immune immunization,the media coverage effect was introduced into the vector-borne epidemic disease model.It provided new ideas for solving practical problems.The conclusions greatly expand the research results of dynamic behavior analysis and control of delayed epidemic models,which has given us a deeper understanding of the study of such models.It also provides a reference for epidemiological prevention.