In the current work, we study two infectious disease models and we use nonlinear optimization and optimal control theory which helps to find strategies towards transmission control and to forecast the international sp...In the current work, we study two infectious disease models and we use nonlinear optimization and optimal control theory which helps to find strategies towards transmission control and to forecast the international spread of the infectious diseases. The relationship between epidemiology, mathematical modeling and computational tools lets us to build and test theories on the development and fighting with a disease. This study is motivated by the study of epidemiological models applied to infectious diseases in an optimal control perspective. We use the numerical methods to display the solutions of the optimal control problems to find the effect of vaccination on these models. Finally, global sensitivity analysis LHS Monte Carlo method using Partial Rank Correlation Coefficient (PRCC) has been performed to investigate the key parameters in model equations. This present work will advance the understanding about the spread of infectious diseases and lead to novel conceptual understanding for spread of them.展开更多
This paper describes some details and procedural steps in the equivalent resistance （E-R） method for simplifying the pier group of the Sutong Bridge, which is located on the tidal reach of the lower Yangtze River, i...This paper describes some details and procedural steps in the equivalent resistance （E-R） method for simplifying the pier group of the Sutong Bridge, which is located on the tidal reach of the lower Yangtze River, in Jiangsu Province. Using a two-dimensional tidal current numerical model, three different models were established： the non-bridge pier model, original bridge pier model, and simplified bridge pier model. The difference in hydrodynamic parameters, including water level, velocity, and diversion ratio, as well as time efficiency between these three models is discussed in detail. The results show that simplifying the pier group using the E-R method influences the water level and velocity near the piers, but has no influence on the diversion ratio of each cross-section of the Xuliujing reach located in the lower Yangtze River. Furthermore, the simplified bridge pier model takes half the calculation time that the original bridge pier model needs. Thus, it is concluded that the E-R method can be use to simplify bridge piers in tidal river section modeling reasonably and efficiently.展开更多
作为一种广为接受的语义数据模型,E-R模型被广泛地应用于数据库设计阶段.但是E-R模型自身却存在某些缺陷,这些缺陷制约了对其进一步的应用.针对E-R模型的改进,目前主要存在基于图形表示和描述性逻辑表示两种途径.但是,前者仍然不具有自...作为一种广为接受的语义数据模型,E-R模型被广泛地应用于数据库设计阶段.但是E-R模型自身却存在某些缺陷,这些缺陷制约了对其进一步的应用.针对E-R模型的改进,目前主要存在基于图形表示和描述性逻辑表示两种途径.但是,前者仍然不具有自动推理能力,而后者却存在表示能力弱、与数据库兼容性不足等缺陷.为克服以上缺陷,提出一种利用回答集编程(answer set programming)表示E-R模型的新方法.首先,对应于数据库的E-R模式被区分为基本和扩展两种类型,并分别完成它们的语法与语义定义.其次,利用回答集编程完成以上两类模式的逻辑编程表示.最后,完成表示的正确性证明.提出的方法不仅为E-R模型提供了一种新的逻辑表示途径,而且相对原有的两种E-R模型改进途径具有明显的优势.更为重要的是该研究成果使得应用E-R模型实现异构数据库之间的语义协作成为可能.展开更多
文摘In the current work, we study two infectious disease models and we use nonlinear optimization and optimal control theory which helps to find strategies towards transmission control and to forecast the international spread of the infectious diseases. The relationship between epidemiology, mathematical modeling and computational tools lets us to build and test theories on the development and fighting with a disease. This study is motivated by the study of epidemiological models applied to infectious diseases in an optimal control perspective. We use the numerical methods to display the solutions of the optimal control problems to find the effect of vaccination on these models. Finally, global sensitivity analysis LHS Monte Carlo method using Partial Rank Correlation Coefficient (PRCC) has been performed to investigate the key parameters in model equations. This present work will advance the understanding about the spread of infectious diseases and lead to novel conceptual understanding for spread of them.
基金supported by the Innovation Project of Graduate Education in Jiangsu Province during 2011 (Grant No. CXZZ11_0449)the Research Plan Project of Transportation Science in Jiangsu Province (Grant No. 20100714-30HDKY001-2)
文摘This paper describes some details and procedural steps in the equivalent resistance （E-R） method for simplifying the pier group of the Sutong Bridge, which is located on the tidal reach of the lower Yangtze River, in Jiangsu Province. Using a two-dimensional tidal current numerical model, three different models were established： the non-bridge pier model, original bridge pier model, and simplified bridge pier model. The difference in hydrodynamic parameters, including water level, velocity, and diversion ratio, as well as time efficiency between these three models is discussed in detail. The results show that simplifying the pier group using the E-R method influences the water level and velocity near the piers, but has no influence on the diversion ratio of each cross-section of the Xuliujing reach located in the lower Yangtze River. Furthermore, the simplified bridge pier model takes half the calculation time that the original bridge pier model needs. Thus, it is concluded that the E-R method can be use to simplify bridge piers in tidal river section modeling reasonably and efficiently.
文摘作为一种广为接受的语义数据模型,E-R模型被广泛地应用于数据库设计阶段.但是E-R模型自身却存在某些缺陷,这些缺陷制约了对其进一步的应用.针对E-R模型的改进,目前主要存在基于图形表示和描述性逻辑表示两种途径.但是,前者仍然不具有自动推理能力,而后者却存在表示能力弱、与数据库兼容性不足等缺陷.为克服以上缺陷,提出一种利用回答集编程(answer set programming)表示E-R模型的新方法.首先,对应于数据库的E-R模式被区分为基本和扩展两种类型,并分别完成它们的语法与语义定义.其次,利用回答集编程完成以上两类模式的逻辑编程表示.最后,完成表示的正确性证明.提出的方法不仅为E-R模型提供了一种新的逻辑表示途径,而且相对原有的两种E-R模型改进途径具有明显的优势.更为重要的是该研究成果使得应用E-R模型实现异构数据库之间的语义协作成为可能.
