In this volume experts present the latest status of mathematical and statistical methods in use for the analysis and modeling of plant disease epidemics. Topics treated are - methods in multivariate analyses, ordination and classification, - modeling of temporal and spatial aspects of air- and soilborne diseases, - methods to analyse and describe competition among subpopulations, e.g. pathogen races and - their interaction with resistance genes of host plants - assemblage and use of models - mathematical simulation of epidemics. New chapters on the modeling of the spreading of diseases in air and in soil are included in this second edition.
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.
From economics and business to the biological sciences to physics and engineering, professionals successfully use the powerful mathematical tool of optimal control to make management and strategy decisions. Optimal Control Applied to Biological Models thoroughly develops the mathematical aspects of optimal control theory and provides insight into t
