Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Partial differential equations --- Functional differential equations --- Functional differential equations. --- 517.95 --- Differential equations, Functional --- Differential equations --- Functional equations --- 517.95 Partial differential equations

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

China has suffered railway capacity constraints for more than several decades and the need for a large increase in rail capacity has been viewed as the primary challenge. The former Chinese Ministry of Railways believed that building a national wide high speed railway (HSR) network was the most efficient solution to China’s rail capacity problems. By 2012, 9 000 km of HSR line has been completed which accounted more than half of the total in the World and the other 9 000 km HSR line is either under construction or in the planning stage. This paper attempts to discuss the initial operational, financial and economic result of such a large scale HSR investment in China where the establishment of an appraisal system for a HSR project is still underway and the public data in need are not available. Based on some trial studies carried out on several HSR projects, however, the paper shows that except for a limited amount of HSR projects in the most developed areas of the country, the initial financial and economic performance of most HSR lines are generally much poorer than expected. The scale of investment seems to be difficult to justify, given that investment in HSR lines is very expensive, especially for those with design speed of 350 km/h, and the high level of debt funding. Moreover the values of time of the ordinary Chinese are still low by European standards. For a developing country planning HSR projects, one lesson that can be learnt from China is that it would be ideal if a comprehensive appraisal can be taken into account before investing in HSR. Such appraisal includes examination of different options for technical and operational standards, timing of investment, construction scale and pace, train operational scheme and service level, pricing and regional development policy (political consideration). At the very least, a step by step development strategy should be adopted to cope with the huge uncertainties and risks.

Transport

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

This book  provides a crash course on  various methods from the bifurcation theory of Functional Differential Equations (FDEs). FDEs arise very naturally in economics, life sciences and engineering  and the study of FDEs has been a major source of inspiration for advancement in nonlinear analysis and infinite dimensional dynamical systems. The  book summarizes some practical and general approaches and frameworks for the investigation of bifurcation phenomena of FDEs depending on parameters. The book aims to be self-contained so the readers will find in this book all relevant materials in bifurcation, dynamical systems with symmetry, functional differential equations, normal forms and center manifold reduction. This material was used in graduate courses on functional differential equations at Hunan University (China) and York University (Canada).

Bifurcation theory -- Congresses. --- Differential equations, Nonlinear -- Congresses. --- Stability -- Congresses. --- Civil & Environmental Engineering --- Engineering & Applied Sciences --- Operations Research --- Bifurcation theory. --- Difference equations. --- Calculus of differences --- Differences, Calculus of --- Equations, Difference --- Mathematics. --- Functional equations. --- Dynamics. --- Ergodic theory. --- Differential equations. --- Difference and Functional Equations. --- Dynamical Systems and Ergodic Theory. --- Ordinary Differential Equations. --- 517.91 Differential equations --- Differential equations --- Ergodic transformations --- Continuous groups --- Mathematical physics --- Measure theory --- Transformations (Mathematics) --- Dynamical systems --- Kinetics --- Mathematics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Physics --- Statics --- Equations, Functional --- Functional analysis --- Math --- Science --- Differential equations, Nonlinear --- Stability --- Numerical solutions --- Differentiable dynamical systems. --- Differential Equations. --- Differential dynamical systems --- Dynamical systems, Differentiable --- Dynamics, Differentiable --- Global analysis (Mathematics) --- Topological dynamics --- Functional differential equations.

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

This book  provides a crash course on  various methods from the bifurcation theory of Functional Differential Equations (FDEs). FDEs arise very naturally in economics, life sciences and engineering  and the study of FDEs has been a major source of inspiration for advancement in nonlinear analysis and infinite dimensional dynamical systems. The  book summarizes some practical and general approaches and frameworks for the investigation of bifurcation phenomena of FDEs depending on parameters. The book aims to be self-contained so the readers will find in this book all relevant materials in bifurcation, dynamical systems with symmetry, functional differential equations, normal forms and center manifold reduction. This material was used in graduate courses on functional differential equations at Hunan University (China) and York University (Canada).

Differential geometry. Global analysis --- Ergodic theory. Information theory --- Differential equations --- Mathematics --- differentiaalvergelijkingen --- differentiaal geometrie --- wiskunde --- informatietheorie

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

This monograph introduces some current developments in the modelling of the spread of tick-borne diseases. Effective modelling requires the integration of multiple frameworks. Here, particular attention is given to the previously neglected issues of tick developmental and behavioral diapause, tick-borne pathogen co-feeding transmission, and their interactions. An introduction to the required basics of structured population formulations and delay differential equations is given, and topics for future study are suggested. The described techniques will also be useful in the study of other vector-borne diseases. The ultimate aim of this project is to develop a general qualitative framework leading to tick-borne disease risk predictive tools and a decision support system. The target audience is mathematical biologists interested in modelling tick population dynamics and tick-borne disease transmission, and developing computational tools for disease prevention and control.

Mathematical analysis --- Mathematics --- Biomathematics. Biometry. Biostatistics --- Hygiene. Public health. Protection --- preventieve gezondheidszorg --- analyse (wiskunde) --- biomathematica --- gezondheidspromotie --- systeemtheorie --- wiskunde