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Mathematical Modelling in Health, Social and Applied Sciences

Mathematical Modelling in Health, Social and Applied Sciences
Author:
Publisher:
Total Pages: 325
Release: 2020
Genre: Electronic books
ISBN: 9789811522871

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This book discusses significant research findings in the field of mathematical modelling, with particular emphasis on important applied-sciences, health, and social issues. It includes topics such as model on viral immunology, stochastic models for the dynamics of influenza, model describing the transmission of dengue, model for human papillomavirus (HPV) infection, prostate cancer model, realization of economic growth by goal programming, modelling of grazing periodic solutions in discontinuous systems, modelling of predation system, fractional epidemiological model for computer viruses, and nonlinear ecological models. A unique addition in the proposed areas of research and education, this book is a valuable resource for graduate students, researchers and educators associated with the study of mathematical modelling of health, social and applied-sciences issues. Readers interested in applied mathematics should also find this book valuable. .


Mathematical Modelling in Health, Social and Applied Sciences

Mathematical Modelling in Health, Social and Applied Sciences
Author: Hemen Dutta
Publisher: Springer Nature
Total Pages: 325
Release: 2020-02-29
Genre: Mathematics
ISBN: 9811522863

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This book discusses significant research findings in the field of mathematical modelling, with particular emphasis on important applied-sciences, health, and social issues. It includes topics such as model on viral immunology, stochastic models for the dynamics of influenza, model describing the transmission of dengue, model for human papillomavirus (HPV) infection, prostate cancer model, realization of economic growth by goal programming, modelling of grazing periodic solutions in discontinuous systems, modelling of predation system, fractional epidemiological model for computer viruses, and nonlinear ecological models. A unique addition in the proposed areas of research and education, this book is a valuable resource for graduate students, researchers and educators associated with the study of mathematical modelling of health, social and applied-sciences issues. Readers interested in applied mathematics should also find this book valuable.


Mathematical Modeling in Social Sciences and Engineering

Mathematical Modeling in Social Sciences and Engineering
Author: Juan Carlos Cortés López
Publisher: Nova Science Publishers
Total Pages: 0
Release: 2014
Genre: Engineering
ISBN: 9781631173356

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This book is devoted to the power of mathematical modelling to give an answer to a broad diversity of real problems including medicine, finance, social behavioural problems and many engineering problems. Mathematical modelling in social sciences is very recent and comes with special challenges such as the difficulty to manage human behaviour, the role of the model hypothesis with the objectivity/subjectivity and the proper understanding of the conclusions. In this book, the reader will find several behavioural mathematical models that in fact may be understood as the so-called epidemiological models in the sense that they deal with populations instead of individuals.


Mathematical Models and Applications

Mathematical Models and Applications
Author: Daniel P. Maki
Publisher: Prentice Hall
Total Pages: 520
Release: 1973
Genre: Mathematics
ISBN:

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"This book began as lecture notes developed in connection with a course of the same name given since 1968 at Indiana University. The audience can be loosely grouped as follows: junior and senior mathematics majors, many of whom contemplate graduate work in other fields; undergraduate and graduate students majoring in the social and life sciences and in business; and prospective secondary teachers of mathematics. In addition, portions of the material have been used in NSF institutes for mathematics teachers. The goal of the course has been to provide the student with an appreciation for, an understanding of, and a facility in the use of mathematics in other fields. The role of mathematical models in explaining and predicting phenomena arising in the real world is the central theme." --Preface.


Aspects of Mathematical Modelling

Aspects of Mathematical Modelling
Author: Roger J. Hosking
Publisher: Springer Science & Business Media
Total Pages: 373
Release: 2008-03-02
Genre: Mathematics
ISBN: 376438591X

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The construction of mathematical models is an essential scientific activity. Mathematics is associated with developments in science and engineering, but more recently mathematical modelling has been used to investigate complex systems that arise in other fields. This book demonstrates the application of mathematics to research topics in ecology and environmental science, health and medicine, phylogenetics and neural networks, theoretical chemistry, economics and management.


Mathematical Models of Infectious Diseases and Social Issues

Mathematical Models of Infectious Diseases and Social Issues
Author: Shah, Nita H.
Publisher: IGI Global
Total Pages: 316
Release: 2020-06-26
Genre: Medical
ISBN: 1799837424

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When deadly illness spreads through a population at a rapid pace, time may be of the essence in order to save lives. Using mathematics as a language to interpret assumptions concerning the biological and population mechanics, one can make predictions by analyzing actual epidemiological data using mathematical tests and results. Mathematical models can help us understand the right disease status and predict the effects of the disease on populations, which can help limit the spread and devastation of the illness. Mathematical Models of Infectious Diseases and Social Issues is a collection of innovative research that examines the dynamics of diseases and their effect on populations. Featuring coverage of a broad range of topics including deterministic models, environmental pollution, and social issues, this book is ideally designed for diagnosticians, clinicians, healthcare providers, pharmacists, government health officials, policymakers, academicians, researchers, and students.


Mathematical Modeling of Social Relationships

Mathematical Modeling of Social Relationships
Author: Urszula Strawinska-Zanko
Publisher: Springer
Total Pages: 222
Release: 2018-06-07
Genre: Social Science
ISBN: 3319767658

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This edited volume presents examples of social science research projects that employ new methods of quantitative analysis and mathematical modeling of social processes. This book presents the fascinating areas of empirical and theoretical investigations that use formal mathematics in a way that is accessible for individuals lacking extensive expertise but still desiring to expand their scope of research methodology and add to their data analysis toolbox. Mathematical Modeling of Social Relationships professes how mathematical modeling can help us understand the fundamental, compelling, and yet sometimes complicated concepts that arise in the social sciences. This volume will appeal to upper-level students and researchers in a broad area of fields within the social sciences, as well as the disciplines of social psychology, complex systems, and applied mathematics.


Concepts of Mathematical Modeling

Concepts of Mathematical Modeling
Author: Walter J. Meyer
Publisher: Courier Corporation
Total Pages: 450
Release: 2012-10-23
Genre: Mathematics
ISBN: 0486137244

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Appropriate for undergraduate and graduate students, this text features independent sections that illustrate the most important principles of mathematical modeling, a variety of applications, and classic models. Students with a solid background in calculus and some knowledge of probability and matrix theory will find the material entirely accessible. The range of subjects includes topics from the physical, biological, and social sciences, as well as those of operations research. Discussions cover related mathematical tools and the historical eras from which the applications are drawn. Each section is preceded by an abstract and statement of prerequisites, and answers or hints are provided for selected exercises. 1984 edition.


Mathematical Models for Therapeutic Approaches to Control HIV Disease Transmission

Mathematical Models for Therapeutic Approaches to Control HIV Disease Transmission
Author: Priti Kumar Roy
Publisher: Springer
Total Pages: 213
Release: 2015-12-08
Genre: Mathematics
ISBN: 9812878521

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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.


Thinking with models

Thinking with models
Author: Thomas L. Saaty and Joyce M. Alexander
Publisher: RWS Publications
Total Pages: 219
Release:
Genre: Business & Economics
ISBN: 1888603410

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This is a rich and exciting collection of examples and applications in mathematical modelling. There is broad variety, balance and highly motivating material and most of this assumes minimal mathematical training.