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Mathematical Models for Therapeutic Approaches to Control HIV Disease Transmission (Hardcover) (Priti
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The book discusses different therapeutic approaches based on mathematical models to help control the HIV disease transmission. It uses clinical data collected from different cited sources to formulate the deterministic model of HIV/AIDS. It provides complementary approaches from deterministic to optimal control to perfect drug adherence, and also tries to seek viewpoints of the same issue from different angles from mathematical modeling to computer simulations. While presenting essential methods and techniques for students interested in designing epidemiological models in HIV/AIDS, it also guides research scientists working in the periphery of mathematical modeling and helps them explore a hypothetical method, examining its consequences in the form of a mathematical model and making predictions.
The model equations, mathematical analysis and several numerical simulations presented in the book would serve to reveal, quantitatively as well as qualitatively, the consequences of that logical structure of the disease transmission. One of the chapters introduces the optimal control models describing the optimal drug dosage process that is discussed with the basic deterministic models dealing with stability analysis. Other chapters deal with the mathematical analysis for the perfect drug adherence for different drug dynamics during the treatment management. This book will appeal to undergraduate and postgraduate students and researchers who are studying and working in the field of bio-mathematical modeling on infectious diseases, applied mathematics, health informatics, applied statistics and qualitative public health. Social workers who are working in the field of HIV will also find the book useful.