Stochastic Processes In Epidemiology Hiv Aids Other Infectious Diseases And Computers PDF Download
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| Author | : Charles J Mode |
| Publisher | : World Scientific |
| Total Pages | : 765 |
| Release | : 2000-06-09 |
| Genre | : Mathematics |
| ISBN | : 9814494186 |
Download Stochastic Processes In Epidemiology: Hiv/aids, Other Infectious Diseases And Computers Book in PDF, ePub and Kindle
AIDS (autoimmune deficiency syndrome) is a devastating human disease caused by HIV, a human immunodeficiency virus, which may be transmitted by either sexual or other contacts in which body fluids are exchanged. Cases of AIDS have been reported in a majority of countries throughout the world, indicating that the HIV/AIDS epidemic is international in scope.This book deals with the mathematical and statistical techniques underlying the models used to understand the population dynamics of not only HIV/AIDS but also other infectious diseases. Attention is given to the development strategies for the prevention and control of the international epidemic within the frameworks of the models. Two distinguishing features of the book are the incorporation of stochastic and deterministic formulations within a unifying conceptual framework and the discussion of issues related to the mathematical designs of models, which are necessary for the rigorous utilization of computer-intensive methods. The book will be of value to applied mathematicians, biomathematicians, biostatisticians, epidemiologists and other scientists interested in applying mathematics and computers to not only the HIV/AIDS epidemic but also other fields of epidemiology.
| Author | : W. Y. Tan |
| Publisher | : World Scientific |
| Total Pages | : 458 |
| Release | : 2000 |
| Genre | : Mathematics |
| ISBN | : 9789810241223 |
Download Stochastic Modeling of AIDS Epidemiology and HIV Pathogenesis Book in PDF, ePub and Kindle
This book discusses systematically treatment on the development of stochastic, statistical and state space models of the HIV epidemic and of HIV pathogenesis in HIV-infected individuals, and presents the applications of these models. The book is unique in several ways: (1) it uses stochastic difference and differential equations to present the stochastic models of the HIV epidemic and HIV pathogenesis; in this sense, the deterministic models are considered as special cases when the numbers of different type of people or cells are very large (2) it provides, a critical analysis of deterministic and statistical models in the literature; (3) it develops state space models by combining stochastic models and statistical models; and (4) it provides a detailed discussion on the pros and cons of the different modeling approaches. This book is the first to introduce state space models for the HIV epidemic. It is also the first to develop stochastic models and state space models for the HIV pathogenesis in HIV-infected individuals.
| Author | : W. Y. Tan |
| Publisher | : World Scientific |
| Total Pages | : 610 |
| Release | : 2005 |
| Genre | : Mathematics |
| ISBN | : 9812561390 |
Download Deterministic and Stochastic Models of AIDS Epidemics and HIV Infections with Intervention Book in PDF, ePub and Kindle
- Only book on extensive, deterministic models, statistic models, stochastic models and state space models and statistical methods for HIV epidemic involving IV drug usage and HIV epidemic in homosexual populations. - Provides most recent biological insights into HIV pathogenesis and HIV kinetics at the cellular level, and illustrates how to build up mathematical models based on these biological insights. - Only publication that provides in-depth analysis of HAART treatment protocols and discusses possible improvements to the HAART protocol. The book also provides connection between pharmacokinetics with treatment in HIV-infected individuals.
| Author | : Jean-Pierre Gabriel |
| Publisher | : Springer |
| Total Pages | : 208 |
| Release | : 2014-03-11 |
| Genre | : Mathematics |
| ISBN | : 3662100673 |
Download Stochastic Processes in Epidemic Theory Book in PDF, ePub and Kindle
This collection of papers gives a representative cross-selectional view of recent developments in the field. After a survey paper by C. Lefèvre, 17 other research papers look at stochastic modeling of epidemics, both from a theoretical and a statistical point of view. Some look more specifically at a particular disease such as AIDS, malaria, schistosomiasis and diabetes.
| Author | : Jean-Pierre Gabriel |
| Publisher | : Springer Verlag |
| Total Pages | : 0 |
| Release | : 1990 |
| Genre | : AIDS (Disease) |
| ISBN | : 9780387525716 |
Download Stochastic Processes in Epidemic Theory Book in PDF, ePub and Kindle
| Author | : W. Y. Tan |
| Publisher | : World Scientific |
| Total Pages | : 610 |
| Release | : 2005 |
| Genre | : Medical |
| ISBN | : 981256926X |
Download Deterministic and Stochastic Models of AIDS Epidemics and HIV Infections with Intervention Book in PDF, ePub and Kindle
With contributions from an international team of leading researchers, the book pulls together updated research results in the area of HIV/AIDS modeling to provide readers with the latest information in the field. Topics covered include: AIDS epidemic models; vaccine models; models for HIV/cell dynamics and interactions; cellular kinetics; viral dynamics with antiviral treatments; modeling of drug resistance and quasispecies.
| Author | : Ping Yan |
| Publisher | : Springer |
| Total Pages | : 354 |
| Release | : 2019-08-16 |
| Genre | : Mathematics |
| ISBN | : 3030219232 |
Download Quantitative Methods for Investigating Infectious Disease Outbreaks Book in PDF, ePub and Kindle
This book provides a systematic treatment of the mathematical underpinnings of work in the theory of outbreak dynamics and their control, covering balanced perspectives between theory and practice including new material on contemporary topics in the field of infectious disease modelling. Specifically, it presents a unified mathematical framework linked to the distribution theory of non-negative random variables; the many examples used in the text, are introduced and discussed in light of theoretical perspectives. The book is organized into 9 chapters: The first motivates the presentation of the material on subsequent chapters; Chapter 2-3 provides a review of basic concepts of probability and statistical models for the distributions of continuous lifetime data and the distributions of random counts and counting processes, which are linked to phenomenological models. Chapters 4 focuses on dynamic behaviors of a disease outbreak during the initial phase while Chapters 5-6 broadly cover compartment models to investigate the consequences of epidemics as the outbreak moves beyond the initial phase. Chapter 7 provides a transition between mostly theoretical topics in earlier chapters and Chapters 8 and 9 where the focus is on the data generating processes and statistical issues of fitting models to data as well as specific mathematical epidemic modeling applications, respectively. This book is aimed at a wide audience ranging from graduate students to established scientists from quantitatively-oriented fields of epidemiology, mathematics and statistics. The numerous examples and illustrations make understanding of the mathematics of disease transmission and control accessible. Furthermore, the examples and exercises, make the book suitable for motivated students in applied mathematics, either through a lecture course, or through self-study. This text could be used in graduate schools or special summer schools covering research problems in mathematical biology.
| Author | : Priti Kumar Roy |
| Publisher | : Springer |
| Total Pages | : 228 |
| Release | : 2015-12-08 |
| Genre | : Mathematics |
| ISBN | : 9812878521 |
Download Mathematical Models for Therapeutic Approaches to Control HIV Disease Transmission Book in PDF, ePub and Kindle
The book discusses different therapeutic approaches based on different mathematical models to control the HIV/AIDS disease transmission. It uses clinical data, collected from different cited sources, to formulate the deterministic as well as stochastic mathematical models of HIV/AIDS. It provides complementary approaches, from deterministic and stochastic points of view, to optimal control strategy with perfect drug adherence and also tries to seek viewpoints of the same issue from different angles with various mathematical models to computer simulations. The book presents essential methods and techniques for students who are interested in designing epidemiological models on HIV/AIDS. It also guides research scientists, working in the periphery of mathematical modeling, and helps them to explore a hypothetical method by examining its consequences in the form of a mathematical modelling and making some scientific predictions. The model equations, mathematical analysis and several numerical simulations that are presented in the book would serve to reveal the consequences of the logical structure of the disease transmission, quantitatively as well as qualitatively. One of the chapters introduces the optimal control approach towards the mathematical models, describing the optimal drug dosage process that is discussed with the basic deterministic models dealing with stability analysis. Another one chapter deals with the mathematical analysis for the perfect drug adherence for different drug dynamics during the treatment management. The last chapter of the book consists the stochastic approach to the disease dynamics on HIV/AIDS. This method helps to move the disease HIV/AIDS to extinction as the time to increase. This book will appeal to undergraduate and postgraduate students, as well as researchers, who are studying and working in the field of bio-mathematical modelling on infectious diseases, applied mathematics, health informatics, applied statistics and qualitative public health, etc. Social workers, who are working in the field of HIV, will also find the book useful for complements.
| Author | : Stefan Ma |
| Publisher | : World Scientific |
| Total Pages | : 240 |
| Release | : 2009 |
| Genre | : Technology & Engineering |
| ISBN | : 9812834826 |
Download Mathematical Understanding of Infectious Disease Dynamics Book in PDF, ePub and Kindle
An Original book with a comprehensive collection of many significant topics of the frontiers in applied presentation of many epidemic models with many real-life examples. presents an integration of interesting ideas from the well-mixed fields of statistics and mathematics. A valuable resource for researchers in wide range of disciplines to solve problems of practical interest.
| Author | : Tom Britton |
| Publisher | : Springer Nature |
| Total Pages | : 474 |
| Release | : 2019-11-30 |
| Genre | : Mathematics |
| ISBN | : 3030309002 |
Download Stochastic Epidemic Models with Inference Book in PDF, ePub and Kindle
Focussing on stochastic models for the spread of infectious diseases in a human population, this book is the outcome of a two-week ICPAM/CIMPA school on "Stochastic models of epidemics" which took place in Ziguinchor, Senegal, December 5–16, 2015. The text is divided into four parts, each based on one of the courses given at the school: homogeneous models (Tom Britton and Etienne Pardoux), two-level mixing models (David Sirl and Frank Ball), epidemics on graphs (Viet Chi Tran), and statistics for epidemic models (Catherine Larédo). The CIMPA school was aimed at PhD students and Post Docs in the mathematical sciences. Parts (or all) of this book can be used as the basis for traditional or individual reading courses on the topic. For this reason, examples and exercises (some with solutions) are provided throughout.
