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Mathematical Modelling Of The Hiv Aids Epidemic And The Effect Of Public Health Education
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Book Synopsis Mathematical Modelling of the HIV/AIDS Epidemic and the Effect of Public Health Education by :
Download or read book Mathematical Modelling of the HIV/AIDS Epidemic and the Effect of Public Health Education written by and published by . This book was released on 2014 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: HIV/AIDS is nowadays considered as the greatest public health disaster of modern time. Its progression has challenged the global population for decades. Through mathematical modelling, researchers have studied different interventions on the HIV pandemic, such as treatment, education, condom use, ctc. Our research focuses on different compartmental models with emphasis on the effect of public health education. From the point of view of statistics, it is well known how the public health educational programs contribute towards the reduction of the spread of HIV/AIDS epidemic. Many models have been studied towards understanding the dynamics of the HIV/AIDS epidemic. The impact of ARV treatment have been observed and analysed by many researchers. Our research studies and investigates a compartinental model of HIV with treatment and education campaign.
Book Synopsis Mathematical Models for Therapeutic Approaches to Control HIV Disease Transmission by : Priti Kumar Roy
Download or read book Mathematical Models for Therapeutic Approaches to Control HIV Disease Transmission written by Priti Kumar Roy and published by Springer. This book was released on 2015-12-08 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Modeling Paradigms and Analysis of Disease Transmission Models by : Abba B. Gumel
Download or read book Modeling Paradigms and Analysis of Disease Transmission Models written by Abba B. Gumel and published by American Mathematical Soc.. This book was released on 2010 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume stems from two DIMACS activities, the U.S.-Africa Advanced Study Institute and the DIMACS Workshop, both on Mathematical Modeling of Infectious Diseases in Africa, held in South Africa in the summer of 2007. It contains both tutorial papers and research papers. Students and researchers should find the papers on modeling and analyzing certain diseases currently affecting Africa very informative. In particular, they can learn basic principles of disease modeling and stability from the tutorial papers where continuous and discrete time models, optimal control, and stochastic features are introduced.
Book Synopsis Stochastic Processes In Epidemiology: Hiv/aids, Other Infectious Diseases And Computers by : Charles J Mode
Download or read book Stochastic Processes In Epidemiology: Hiv/aids, Other Infectious Diseases And Computers written by Charles J Mode and published by World Scientific. This book was released on 2000-06-09 with total page 765 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Mathematics of Public Health by : Jummy David
Download or read book Mathematics of Public Health written by Jummy David and published by Springer Nature. This book was released on 2023-12-30 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume addresses SDG 3 from a mathematical standpoint, sharing novel perspectives of existing communicable disease modelling technologies of the next generation and disseminating new developments in modelling methodologies and simulation techniques. These methodologies are important for training and research in communicable diseases and can be applied to other threats to human health. The contributions contained in this collection/book cover a range of modelling techniques that have been and may be used to support decision-making on critical health related issues such as: Resource allocation Impact of climate change on communicable diseases Interaction of human behaviour change, and disease spread Disease outbreak trajectories projection Public health interventions evaluation Preparedness and mitigation of emerging and re-emerging infectious diseases outbreaks Development of vaccines and decisions around vaccine allocation and optimization The diseases and public health issues in this volume include, but are not limited to COVID-19, HIV, Influenza, antimicrobial resistance (AMR), the opioid epidemic, Lyme Disease, Zika, and Malaria. In addition, this volume compares compartmental models, agent-based models, machine learning and network. Readers have an opportunity to learn from the next generation perspective of evolving methodologies and algorithms in modelling infectious diseases, the mathematics behind them, the motivation for them, and some applications to supporting critical decisions on prevention and control of communicable diseases. This volume was compiled from the weekly seminar series organized by the Mathematics for Public Health (MfPH) Next Generation Network. This network brings together the next generation of modellers from across Canada and the world, developing the latest mathematical models, modeling methodologies, and analytical and simulation tools for communicable diseases of global public health concerns. The weekly seminar series provides a unique forum for this network and their invited guest speakers to share their perspectives on the status and future directions of mathematics of public health.
Book Synopsis Statistical Analysis and Mathematical Modelling of AIDS by : J. C. Jager
Download or read book Statistical Analysis and Mathematical Modelling of AIDS written by J. C. Jager and published by Oxford University Press, USA. This book was released on 1988 with total page 167 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the worldwide fight against the AIDS epidemic, the ability to predict the number and social impact of future cases plays a vital role. The choice of control strategies, public health decisions, and the evaluation of possible interventions depend on having such information that is accurate and reliable. This book is devoted to the statistical analysis of basic data on the spread of AIDS and the mathematical modelling of the transmission and spread of the human immunodeficiency virus (HIV) which causes the disease. Such techniques take into account medical, psychosocial, behavioral and economic factors, and can help to integrate this information into an efficient methodology for the estimation of future needs and how to meet them. In addition to AIDS specialists, the studies here will be valuable to all those involved in public health, epidemiology and the control of communicable diseases.
Book Synopsis AIDS Epidemiology by : Ron Brookmeyer
Download or read book AIDS Epidemiology written by Ron Brookmeyer and published by Oxford University Press. This book was released on 1994-01-06 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: AIDS has appeared in more than 130 countries, and over 100,000 cases of AIDS have been reported in the U.S. alone. More and more, the public will be depending on statisticians to provide answers about the future course of this epidemic. This comprehensive work confronts the problems that are unique to AIDS research and unites them under a single conceptual framework. It focuses on methods for the design and analysis of epidemiologic studies, the natural history of AIDS and the transmission of HIV, methods for tracking and projecting the course of the epidemic, and statistical issues in therapeutic trials. The various methods of monitoring and forecasting this disease receive comprehensive treatment. These methods include back-calculation, which the authors developed; interpretation of survey data on HIV prevalence; mathematical models for HIV transmission; and approaches that combine different types of epidemiological data. Much of this material -- such as a discussion of methods for assessing safety of the blood supply, an evaluation of survey approaches, and methods to project pediatric AIDS incidence -- is not available in any other work.
Book Synopsis Mathematical Models in Epidemiology by : Fred Brauer
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.
Book Synopsis Modeling HIV Transmission and AIDS in the United States by : Herbert W Hethcote
Download or read book Modeling HIV Transmission and AIDS in the United States written by Herbert W Hethcote and published by Springer. This book was released on 2014-01-15 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Deterministic And Stochastic Models Of Aids Epidemics And Hiv Infections With Intervention by : Wai-yuan Tan
Download or read book Deterministic And Stochastic Models Of Aids Epidemics And Hiv Infections With Intervention written by Wai-yuan Tan and published by World Scientific. This book was released on 2005-07-07 with total page 610 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.Extensive deterministic models, statistical models, stochastic models and state space models on treating AIDS patients with anti-retroviral drugs are provided, as well as an in-depth discussion of these models. The book also contains updated reviews on mathematical models for assessing effects of AIDS vaccines, statistical methods for analyzing clinical trial data on AIDS vaccines, and overviews of models and statistical methods for assessing drug resistance of HIV to anti-retroviral drugs. Some important statistical methods specific to the intervention and prevention of HIV epidemic are also discussed.This will be a useful reference source for graduate students and researchers in biomathematics and biostatistics, as well as for HIV/AIDS epidemiologists and clinical investigators learning quantitative methods to study AIDS epidemics and HIV infection.
Book Synopsis Mathematical Models for Communicable Diseases by : Fred Brauer
Download or read book Mathematical Models for Communicable Diseases written by Fred Brauer and published by SIAM. This book was released on 2013-02-07 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt: A self-contained and comprehensive guide to the mathematical modeling of disease transmission, appropriate for graduate students.
Author :Carlos Castillo-Chavez Publisher :Springer Science & Business Media ISBN 13 :3642934544 Total Pages :416 pages Book Rating :4.6/5 (429 download)
Book Synopsis Mathematical and Statistical Approaches to AIDS Epidemiology by : Carlos Castillo-Chavez
Download or read book Mathematical and Statistical Approaches to AIDS Epidemiology written by Carlos Castillo-Chavez and published by Springer Science & Business Media. This book was released on 2013-03-13 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 18 research articles of this volume discuss the major themes that have emerged from mathematical and statistical research in the epidemiology of HIV. The opening paper reviews important recent contributions. Five sections follow: Statistical Methodology and Forecasting, Infectivity and the HIV, Heterogeneity and HIV Transmission Dynamics, Social Dynamics and AIDS, and The Immune System and The HIV. In each, leading experts in AIDS epidemiology present the recent results. Some address the role of variable infectivity, heterogeneous mixing, and long periods of infectiousness in the dynamics of HIV; others concentrate on parameter estimation and short-term forecasting. The last section looks at the interaction between the HIV and the immune system.
Book Synopsis Using Mathematical Models to Understand the AIDS Spidemic. [None]. by :
Download or read book Using Mathematical Models to Understand the AIDS Spidemic. [None]. written by and published by . This book was released on 1987 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The most urgent public health problem today is to devise effective strategies to minimize the destruction caused by the AIDS epidemic. This complex problem will involve medical advances and new public health and education initiatives. Mathematical models based on the underlying transmission mechanisms of the AIDS virus can help the medical/scientific community understand and anticipate its spread in different populations and evaluate the potential effectiveness of different approaches for bringing the epidemic under control. Before we can use models to predict the future, we must carefully test them against the past spread of the infection and for sensitivity to parameter changes. The long and extremely variable incubation period and the low probability of transmitting the AIDS virus in a single contact imply that population structure and variations in infectivity both play an important role in its spread. This structure occurs because of differences between people in numbers of sexual partners and the use of intravenous drugs and because of the way in which people mix among age, ethnic, and social groups. We use a simplified approach to investigate the effects of variation in incubation periods and infectivity specific to the AIDS virus and we compare a model of random partner choices with a model in which partners both come from similar behavior groups. 60 refs., 15 figs.
Book Synopsis HIV Transmission by : D. M. Basavarajaiah
Download or read book HIV Transmission written by D. M. Basavarajaiah and published by Springer Nature. This book was released on 2019-11-29 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents models describing HIV transmission rates at population level, discussing the main statistical methods and analytical interventions. It also assesses the practical applicability of the various modelling techniques, offering readers insights into what methods are available and, more importantly, when they should be used to address HIV transmission at global level. The book includes realistic simulation models fitted to clarify the rate of HIV mother-to-child transmission (HIV MTCT), and substantiates the conclusions that can be drawn as well as the appropriate time for making global-level clinical decisions concerning people living with HIV/AIDS (PLHIVs). Intended for students, academics and researchers, the book offers more than just an introduction to the topic – it also features in-depth, yet easy-to-understand, descriptions of a new mathematical/statistical HIV mother-to-child transmission model, making it a useful resource for clinicians, public health workers and policymakers involved in implementing HIV-prevention programmes at national /global level.
Book Synopsis AIDS Epidemiology by : Nicholas P. Jewell
Download or read book AIDS Epidemiology written by Nicholas P. Jewell and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 413 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1974, the Societal Institute of the Mathematical Sciences (SIMS) initiated a series of five-day Research Application Conferences (RAC's) at Alta, Utah, for the purpose of probing in depth societal fields in light of their receptivity to mathematical and statistical analysis. The first eleven conferences addressed ecosystems, epidemiology, energy, environmental health, time series and ecological processes, energy and health, energy conversion and fluid mechanics, environmental epidemiology: risk assessment, atomic bomb survival data: utilization and analysis, modem statistical methods in chronic disease epidemiology and scientific issues in quantitative cancer risk assess ment. These Proceedings are a result of the twelfth conference on Statistical Methodology for Study of the AIDS Epidemic which was held in 1991 at the Mathematical Sciences Research Institute, Berkeley, California. For five days, 45 speakers and observers contributed their expertise in the relevant biology and statistics. The presentations were timely and the discussion was both enlightening and at times spirited. Members of the Program Committee for the Conference were Klaus Dietz (University of Tiibingen, Germany), Vernon T. Farewell (University of Waterloo, Ontario), and Nicholas P. Jewell (University of California, Berke ley) (Chair). The Conference was supported by a grant to SIMS from the National Institute of Drug Abuse. D. L. Thomsen, Jr.
Book Synopsis Modeling the AIDS Epidemic by : Margaret L. Brandeau
Download or read book Modeling the AIDS Epidemic written by Margaret L. Brandeau and published by Raven Press (ID). This book was released on 1994 with total page 664 pages. Available in PDF, EPUB and Kindle. Book excerpt: Emerging from the 34th Joint National Meeting of the Operations Research Society of America and The Institute of Management Sciences, held in San Francisco, November 1992, this volume presents AIDS modeling research that can directly or indirectly improve decision making for planning, resource allocation, and public health policy. The volume is divided into four sections: AIDS policy modeling; models for AIDS backcasting and forecasting; modeling infectivity and disease progression; and modeling the social organization of risky behavior. Annotation copyright by Book News, Inc., Portland, OR
Book Synopsis Mathematical and Statistical Modeling for Emerging and Re-emerging Infectious Diseases by : Gerardo Chowell
Download or read book Mathematical and Statistical Modeling for Emerging and Re-emerging Infectious Diseases written by Gerardo Chowell and published by Springer. This book was released on 2016-07-27 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: The contributions by epidemic modeling experts describe how mathematical models and statistical forecasting are created to capture the most important aspects of an emerging epidemic.Readers will discover a broad range of approaches to address questions, such as Can we control Ebola via ring vaccination strategies? How quickly should we detect Ebola cases to ensure epidemic control? What is the likelihood that an Ebola epidemic in West Africa leads to secondary outbreaks in other parts of the world? When does it matter to incorporate the role of disease-induced mortality on epidemic models? What is the role of behavior changes on Ebola dynamics? How can we better understand the control of cholera or Ebola using optimal control theory? How should a population be structured in order to mimic the transmission dynamics of diseases such as chlamydia, Ebola, or cholera? How can we objectively determine the end of an epidemic? How can we use metapopulation models to understand the role of movement restrictions and migration patterns on the spread of infectious diseases? How can we capture the impact of household transmission using compartmental epidemic models? How could behavior-dependent vaccination affect the dynamical outcomes of epidemic models? The derivation and analysis of the mathematical models addressing these questions provides a wide-ranging overview of the new approaches being created to better forecast and mitigate emerging epidemics. This book will be of interest to researchers in the field of mathematical epidemiology, as well as public health workers.
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