Deterministic And Stochastic Models Of Aids Epidemics And Hiv Infections With Interventions
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| Author | : W. Y. Tan |
| Publisher | : World Scientific |
| Total Pages | : 610 |
| Release | : 2005 |
| Genre | : Mathematics |
| ISBN | : 9812561390 |
- 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 | : Tan Wai-Yuan |
| Publisher | : |
| Total Pages | : 601 |
| Release | : 2005 |
| Genre | : AIDS (Disease) |
| ISBN | : |
| Author | : W. Y. Tan |
| Publisher | : World Scientific |
| Total Pages | : 458 |
| Release | : 2000 |
| Genre | : Mathematics |
| ISBN | : 9789810241223 |
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 | : Charles J Mode |
| Publisher | : World Scientific |
| Total Pages | : 765 |
| Release | : 2000-06-09 |
| Genre | : Mathematics |
| ISBN | : 9814494186 |
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 | : Priti Kumar Roy |
| Publisher | : Springer |
| Total Pages | : 228 |
| Release | : 2015-12-08 |
| Genre | : Mathematics |
| ISBN | : 9812878521 |
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 | : Zhengzheng Ye |
| Publisher | : |
| Total Pages | : 170 |
| Release | : 1999 |
| Genre | : |
| ISBN | : |
| Author | : National Research Council |
| Publisher | : National Academies Press |
| Total Pages | : 396 |
| Release | : 1993-02-01 |
| Genre | : Social Science |
| ISBN | : 0309049423 |
This overview includes chapters on child mortality, adult mortality, fertility, proximate determinants, marriage, internal migration, international migration, and the demographic impact of AIDS.
| Author | : National Research Council |
| Publisher | : National Academies Press |
| Total Pages | : 368 |
| Release | : 2006-11-10 |
| Genre | : Social Science |
| ISBN | : 0309180090 |
In sub-Saharan Africa, older people make up a relatively small fraction of the total population and are supported primarily by family and other kinship networks. They have traditionally been viewed as repositories of information and wisdom, and are critical pillars of the community but as the HIV/AIDS pandemic destroys family systems, the elderly increasingly have to deal with the loss of their own support while absorbing the additional responsibilities of caring for their orphaned grandchildren. Aging in Sub-Saharan Africa explores ways to promote U.S. research interests and to augment the sub-Saharan governments' capacity to address the many challenges posed by population aging. Five major themes are explored in the book such as the need for a basic definition of "older person," the need for national governments to invest more in basic research and the coordination of data collection across countries, and the need for improved dialogue between local researchers and policy makers. This book makes three major recommendations: 1) the development of a research agenda 2) enhancing research opportunity and implementation and 3) the translation of research findings.
| Author | : Fred Brauer |
| Publisher | : Springer Nature |
| Total Pages | : 628 |
| Release | : 2019-10-10 |
| Genre | : Mathematics |
| ISBN | : 1493998285 |
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.
| Author | : Catherine Huber |
| Publisher | : John Wiley & Sons |
| Total Pages | : 294 |
| Release | : 2013-03-01 |
| Genre | : Mathematics |
| ISBN | : 1118624114 |
Reliability and survival analysis are important applications of stochastic mathematics (probability, statistics and stochastic processes) that are usually covered separately in spite of the similarity of the involved mathematical theory. This title aims to redress this situation: it includes 21 chapters divided into four parts: Survival analysis, Reliability, Quality of life, and Related topics. Many of these chapters were presented at the European Seminar on Mathematical Methods for Survival Analysis, Reliability and Quality of Life in 2006.
