[PDF] Some Stochastic Models Of Hiv Epidemic In Heterosexual Populations eBook

Author : W. Y. Tan
Publisher : World Scientific
Page : 610 pages
File Size : 21,26 MB
Release : 2005
Category : Mathematics
ISBN : 9812561390

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- 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 : W. Y. Tan
Publisher : World Scientific
Page : 458 pages
File Size : 21,28 MB
Release : 2000
Category : Mathematics
ISBN : 9789810241223

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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
Page : 765 pages
File Size : 49,93 MB
Release : 2000-06-09
Category : Mathematics
ISBN : 9814494186

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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 : Asrul Sani
Publisher : LAP Lambert Academic Publishing
Page : 156 pages
File Size : 23,37 MB
Release : 2010-09
Category :
ISBN : 9783838362908

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Since the first cases of HIV/AIDS disease were recognised in the early 1980s, a large number of mathematical models have been proposed. However, the mobility of people, which has an obvious impact on the spread of the disease, has not been much considered in the modelling studies. This book provides various new results pertaining to the spread of the disease, including epidemic intervention, in mobile populations. The results can serve as a basic framework how to formulate and analyse a more realistic stochastic model for the spread of HIV in mobile heterogeneous populations - classifying all individuals by age, risk, and at the same time considering different modes of the disease transmission. Some strategies such as how to allocate a limited budget to minimise the number of new HIV cases over a finite time horizon as people move among regions might provide some useful information in controlling the spread of the disease. A novel approach using the Cross-Entropy (CE) method is introduced to solve such highly non-linear and multidimensional problems. This book, therefore, should be especially useful to those interested in Epidemic Modelling, Analysis, and Simulation fields.

Author : sarkhosh seddighi chaharborj
Publisher : LAP Lambert Academic Publishing
Page : 116 pages
File Size : 23,54 MB
Release : 2014-01
Category :
ISBN : 9783659513848

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Mathematical modeling is an important tools to analyze and control the spread of infection disease in a society. One of the fundamental questions of mathematical epidemiology is to find threshold conditions that determine whether an infectious disease will spread in a susceptible population when the disease is introduced into the population. The threshold conditions are characterized by the so-called reproductive number, the reproduction number, the reproductive ratio, basic reproductive value, basic reproductive rate, or contact number. This book present the deterministic and stochastic epidemic models for HIV and study of reproductive numbers. The homotopy perturbation method and homotopy analysis method which was used to solve the linear and nonlinear differential equations. Also, the generation of stochastic models in the epidemic disease has been studied.