Nonlinearity and randomness are both the essential attributes for the real world,and the case is the same for the models of infectious diseases,for which the deterministic models can not give a complete picture of the...Nonlinearity and randomness are both the essential attributes for the real world,and the case is the same for the models of infectious diseases,for which the deterministic models can not give a complete picture of the evolution.However,although there has been a lot of work on stochastic epidemic models,most of them focus mainly on qualitative properties,which makes us somewhat ignore the original meaning of the parameter value.In this paper we extend the classic susceptible-infectious-removed(SIR)epidemic model by adding a white noise excitation and then we utilize the large deviation theory to quantitatively study the long-term coexistence exit problem with epidemic.Finally,in order to extend the meaning of parameters in the corresponding deterministic system,we tentatively introduce two new thresholds which then prove rational.展开更多
Budget management is to check and calculate the funds needed for the overall construction operation of the construction project in advance. This work takes place in the preparation of the construction project. The com...Budget management is to check and calculate the funds needed for the overall construction operation of the construction project in advance. This work takes place in the preparation of the construction project. The compilation basis includes construction documents, construction indicators, etc., and the cost is controlled by the development of the project budget work. However, combined with the current situation of budget management and control in the field of domestic construction, the overall professional quality of managers needs to be improved, which requires managers to conduct in-depth analysis, explore its inducing factors, and put forward targeted solutions. Next, the article on the construction project budget management problems and countermeasures are discussed.展开更多
基金supported by the National Natural Science Foundation of China(No.12172167)。
文摘Nonlinearity and randomness are both the essential attributes for the real world,and the case is the same for the models of infectious diseases,for which the deterministic models can not give a complete picture of the evolution.However,although there has been a lot of work on stochastic epidemic models,most of them focus mainly on qualitative properties,which makes us somewhat ignore the original meaning of the parameter value.In this paper we extend the classic susceptible-infectious-removed(SIR)epidemic model by adding a white noise excitation and then we utilize the large deviation theory to quantitatively study the long-term coexistence exit problem with epidemic.Finally,in order to extend the meaning of parameters in the corresponding deterministic system,we tentatively introduce two new thresholds which then prove rational.
文摘Budget management is to check and calculate the funds needed for the overall construction operation of the construction project in advance. This work takes place in the preparation of the construction project. The compilation basis includes construction documents, construction indicators, etc., and the cost is controlled by the development of the project budget work. However, combined with the current situation of budget management and control in the field of domestic construction, the overall professional quality of managers needs to be improved, which requires managers to conduct in-depth analysis, explore its inducing factors, and put forward targeted solutions. Next, the article on the construction project budget management problems and countermeasures are discussed.
