During the past decade epidemiology has developed beyond the simple desrip tion of ecological factors affecting disease. Population dynamics has become a major item of research, which in turn has prompted new approaches and philosophy. Though basically an empirical science, epidemiology has of necessity veered towards mathematical methods and modeling. The growing importance of epidemiology was acknowledged by the organizers of the 2nd International Congress of Plant Pathology, held in Minneapolis in September 1973. One of the symposia was devoted to a discussion of the role of mathematics and modeling in the analysis of epidemics. The speakers considered that it would be valuable to expand their contributions for publication. The following chapters give an outline of the record of achievement to date in the use of mathematical analysis and computer techniques in the study of epidemics of plant diseases; at the same time they seek to indicate the greatly enlarged possibilities, still in the early stage~ of investigation, of constructive work on this basis used in the field of epidemiology. A good beginning has been made in clarifying the very complex and sometimes confusing data by means of mathematical models and equations, and later by computer simulations. In this book practical procedures, such as experiments in coding techniques, reduction of data, computer programs, the particular scope of multiple regression analysis in the study of the progress of epidemics, disease increase and severity, disease cycles and crop losses, are variously discussed.
Highlighting effective, analytical functions that have been found useful for the comparison of alternative management techniques to maximize water and nutrient resources, this reference describes the application of viable mathematical models in data analysis to increase crop growth and yields. Featuring solutions to various differential equations, the book covers the characteristics of the functions related to the phenomenological growth model. Including more than 1300 literature citations, display equations, tables, and figures and outlining an approach to mathematical crop modeling, Mathematical Models of Crop Growth and Yield will prove an invaluable resource.
Advances in Plant Pathology is a new series designed to be flexible in its thorough coverage of the field. The volumes concentrate on ideas and interpretations and are controversial when appropriate. The audience is intended to be wide and diverse and to include undergraduates, graduate students, researchers, faculty, and research agronomists.
Published since 1953, Advances in Virus Research covers a diverse range of in-depth reviews providing a valuable overview of the current field of virology. In 2004, the Institute for Scientific Information released figures showing that the series has an Impact Factor of 2.576, with a half-life of 7.1 years, placing it 11th in the highly competitive category of Virology.* Edited by an experienced plant pathologist who has over 50 years experience in plant virus epidemiology* Covers topics such as Evolutionary epidemiology of plant virus disease, The control of tropical plant virus diseases, and Control of plant virus diseases* A valuable resource for students and researchers alike
Plant disease epidemics, caused by established and invasive pathogen species, continue to impact a world increasingly concerned with the quantity and quality of its primary food supply. The Study of Plant Disease Epidemics is a comprehensive manual that introduces readers to the essential principles and concepts of plant disease epidemiology.
In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation;methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; andmethods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory.As a result, the book represents a blend of new methods in general computational analysis,and specific, but also generic, techniques for study of systems theory ant its particularbranches, such as optimal filtering and information compression.- Best operator approximation,- Non-Lagrange interpolation,- Generic Karhunen-Loeve transform- Generalised low-rank matrix approximation- Optimal data compression- Optimal nonlinear filtering
Role of mathematical models in agriculture and agricultural research. Techniques: dynamic deterministic modelling. Techniques: mathematical programming. Testing and evaluation of models. Growth functions. Weather. Plant and crop processes. Crop responses and models. Plant diseases and pest. Animal processes. Animal products. Farm planning and control: I. Farm planning and control.
The book is a comprehensive, self-contained introduction to the mathematical modeling and analysis of disease transmission models. It includes (i) an introduction to the main concepts of compartmental models including models with heterogeneous mixing of individuals and models for vector-transmitted diseases, (ii) a detailed analysis of models for important specific diseases, including tuberculosis, HIV/AIDS, influenza, Ebola virus disease, malaria, dengue fever and the Zika virus, (iii) an introduction to more advanced mathematical topics, including age structure, spatial structure, and mobility, and (iv) some challenges and opportunities for the future. There are exercises of varying degrees of difficulty, and projects leading to new research directions. For the benefit of public health professionals whose contact with mathematics may not be recent, there is an appendix covering the necessary mathematical background. There are indications which sections require a strong mathematical background so that the book can be useful for both mathematical modelers and public health professionals.
Based on lecture notes of two summer schools with a mixed audience from mathematical sciences, epidemiology and public health, this volume offers a comprehensive introduction to basic ideas and techniques in modeling infectious diseases, for the comparison of strategies to plan for an anticipated epidemic or pandemic, and to deal with a disease outbreak in real time. It covers detailed case studies for diseases including pandemic influenza, West Nile virus, and childhood diseases. Models for other diseases including Severe Acute Respiratory Syndrome, fox rabies, and sexually transmitted infections are included as applications. Its chapters are coherent and complementary independent units. In order to accustom students to look at the current literature and to experience different perspectives, no attempt has been made to achieve united writing style or unified notation. Notes on some mathematical background (calculus, matrix algebra, differential equations, and probability) have been prepared and may be downloaded at the web site of the Centre for Disease Modeling (www.cdm.yorku.ca).
