Download or read book Justified Modeling Frameworks and Novel Interpretations of Ecological and Epidemiological Systems written by Bapan Ghosh and published by Frontiers Media SA. This book was released on 2024-01-12 with total page 151 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Lotka-Volterra and the Kermack-McKendrick models are well celebrated and widely recognized in the field of ecology and epidemiology. Several modified ordinary differential equation models have been proposed over the last many decades to rationalize complex biological phenomena. In the current century, researchers have paid much attention to developing new modeling frameworks with delay differential equations, difference equations, fractional order systems, stochastic differential equations, etc. No doubt, these models have emerged many new bifurcations theory and methods which have equally contributed to the advances of Mathematics and interdisciplinary research. It is argued that these new modeling frameworks perform more effectively in analyzing and interpreting results compared to the conventional modeling frameworks with ordinary differential equations. However, implications of emerged bifurcations from new modeling approaches are often less interpreted from a biological viewpoint. Even, there is also a lack of understanding of how a fractional order model, for instance, displays a more realistic scenario to analyze a biological process. Therefore, a more serious justification is essential while modeling any biological event.
Download or read book Modeling and Analysis of Ecological and Epidemiological Systems written by Dahlia khaled Bahlool and published by . This book was released on 2016-12-27 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematical Modeling for Epidemiology and Ecology written by Glenn Ledder and published by Springer Nature. This book was released on 2023-04-13 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Modeling for Epidemiology and Ecology provides readers with the mathematical tools needed to understand and use mathematical models and read advanced mathematical biology books. It presents mathematics in biological contexts, focusing on the central mathematical ideas and the biological implications, with detailed explanations. The author assumes no mathematics background beyond elementary differential calculus. An introductory chapter on basic principles of mathematical modeling is followed by chapters on empirical modeling and mechanistic modeling. These chapters contain a thorough treatment of key ideas and techniques that are often neglected in mathematics books, such as the Akaike Information Criterion. The second half of the book focuses on analysis of dynamical systems, emphasizing tools to simplify analysis, such as the Routh-Hurwitz conditions and asymptotic analysis. Courses can be focused on either half of the book or thematically chosen material from both halves, such as a course on mathematical epidemiology. The biological content is self-contained and includes many topics in epidemiology and ecology. Some of this material appears in case studies that focus on a single detailed example, and some is based on recent research by the author on vaccination modeling and scenarios from the COVID-19 pandemic. The problem sets feature linked problems where one biological setting appears in multi-step problems that are sorted into the appropriate section, allowing readers to gradually develop complete investigations of topics such as HIV immunology and harvesting of natural resources. Some problems use programs written by the author for Matlab or Octave; these combine with more traditional mathematical exercises to give students a full set of tools for model analysis. Each chapter contains additional case studies in the form of projects with detailed directions. New appendices contain mathematical details on optimization, numerical solution of differential equations, scaling, linearization, and sophisticated use of elementary algebra to simplify problems.
Download or read book Dynamical Modeling and Analysis of Epidemics written by Zhien Ma and published by World Scientific. This book was released on 2009 with total page 513 pages. Available in PDF, EPUB and Kindle. Book excerpt: This timely book covers the basic concepts of the dynamics of epidemic disease, presenting various kinds of models as well as typical research methods and results. It introduces the latest results in the current literature, especially those obtained by highly rated Chinese scholars. A lot of attention is paid to the qualitative analysis of models, the sheer variety of models, and the frontiers of mathematical epidemiology. The process and key steps in epidemiological modeling and prediction are highlighted, using transmission models of HIV/AIDS, SARS, and tuberculosis as application examples.
Download or read book Mathematical Models in Epidemiology written by Fred Brauer and published by Springer Nature. This book was released on 2019-10-10 with total page 628 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Spatiotemporal Patterns in Ecology and Epidemiology written by Horst Malchow and published by CRC Press. This book was released on 2007-12-26 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although the spatial dimension of ecosystem dynamics is now widely recognized, the specific mechanisms behind species patterning in space are still poorly understood and the corresponding theoretical framework is underdeveloped. Going beyond the classical Turing scenario of pattern formation, Spatiotemporal Patterns in Ecology and Epidemiology:
Download or read book Applications of Novel Analytical Methods in Epidemiology written by Moh A. Alkhamis and published by Frontiers Media SA. This book was released on 2018-12-07 with total page 109 pages. Available in PDF, EPUB and Kindle. Book excerpt: The repertoire of quantitative analytical techniques in disciplines such as ecology, decision science, and evolutionary biology has grown, in part enabled by the development and increased availability of computational resources. Integration of cutting-edge, quantitative tools into veterinary epidemiology that have been borrowed from such disciplines has offered opportunities to advance the study of disease dynamics in animal populations, to improve and guide decision-making related to disease prevention, control, or eradication. Furthermore, the need to explore new analytical methods for veterinary epidemiology has been driven by the increasing availability and complexity of animal disease data. The objective of this e-book is to contribute to current methods in epidemiology by 1) presenting and discussing novel analytical tools that help advance our understanding of epidemiology; and 2) demonstrating how inferences emerging from the application of novel analytical tools can be incorporated into decision-making related to animal health. The e-book constitutes a collection of articles that explore the applications of a variety of analytical methods such as machine learning, Bayesian risk assessment and an advanced form of social network analysis in the modern epidemiologic study of animal diseases.
Download or read book Mathematical Structures of Epidemic Systems written by Vincenzo Capasso and published by . This book was released on 2014-09-01 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Age Structured Epidemic Modeling written by Xue-Zhi Li and published by Springer. This book was released on 2020-07-08 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces advanced mathematical methods and techniques for analysis and simulation of models in mathematical epidemiology. Chronological age and class-age play an important role in the description of infectious diseases and this text provides the tools for the analysis of this type of partial differential equation models. This book presents general theoretical tools as well as large number of specific examples to guide the reader to develop their own tools that they may then apply to study structured models in mathematical epidemiology. The book will be a valuable addition to the arsenal of all researchers interested in developing theory or studying specific models with age structure.
Download or read book Infectious Disease Modeling written by Xinzhi Liu and published by Springer. This book was released on 2017-03-03 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents infectious diseases modeled mathematically, taking seasonality and changes in population behavior into account, using a switched and hybrid systems framework. The scope of coverage includes background on mathematical epidemiology, including classical formulations and results; a motivation for seasonal effects and changes in population behavior, an investigation into term-time forced epidemic models with switching parameters, and a detailed account of several different control strategies. The main goal is to study these models theoretically and to establish conditions under which eradication or persistence of the disease is guaranteed. In doing so, the long-term behavior of the models is determined through mathematical techniques from switched systems theory. Numerical simulations are also given to augment and illustrate the theoretical results and to help study the efficacy of the control schemes.
Download or read book An Introduction to Mathematical Epidemiology written by Maia Martcheva and published by Springer. This book was released on 2016-08-23 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is a comprehensive, self-contained introduction to the mathematical modeling and analysis of infectious diseases. It includes model building, fitting to data, local and global analysis techniques. Various types of deterministic dynamical models are considered: ordinary differential equation models, delay-differential equation models, difference equation models, age-structured PDE models and diffusion models. It includes various techniques for the computation of the basic reproduction number as well as approaches to the epidemiological interpretation of the reproduction number. MATLAB code is included to facilitate the data fitting and the simulation with age-structured models.
Download or read book Environmental Health Perspectives written by and published by . This book was released on 1993 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Modelling Disease Ecology with Mathematics written by Robert Smith and published by Debolsillo. This book was released on 2008 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Principles and Challenges of Fundamental Methods in Veterinary Epidemiology and Economics written by Salome Dürr and published by Frontiers Media SA. This book was released on 2021-08-09 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematical Modeling and Analysis of Epidemiological and Chemical Systems written by Calistus N. Ngonghala and published by . This book was released on 2011 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematical Models in Population Biology and Epidemiology written by Fred Brauer and published by Springer. This book was released on 2011-11-08 with total page 508 pages. Available in PDF, EPUB and Kindle. Book excerpt: The goal of this book is to search for a balance between simple and analyzable models and unsolvable models which are capable of addressing important questions on population biology. Part I focusses on single species simple models including those which have been used to predict the growth of human and animal population in the past. Single population models are, in some sense, the building blocks of more realistic models -- the subject of Part II. Their role is fundamental to the study of ecological and demographic processes including the role of population structure and spatial heterogeneity -- the subject of Part III. This book, which will include both examples and exercises, is of use to practitioners, graduate students, and scientists working in the field.
Download or read book Modelling Persistence in Spatially explicit Ecological and Epidemiological Systems written by Rebecca Mancy and published by . This book was released on 2015 with total page 197 pages. Available in PDF, EPUB and Kindle. Book excerpt:
