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This final project will analyze models for the spread of HIV/AIDS amongst a population of injecting drug users. Start off with a brief literature review, followed up by a detailed description of Kaplan’s model and another realistic extension of Kaplan’s model. Then perform an equilibri...

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Bibliographic Details
Main Author: (NIM 10103054), UTAMININGSIH
Format: Final Project
Language:Indonesia
Online Access:https://digilib.itb.ac.id/gdl/view/9543
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Institution: Institut Teknologi Bandung
Language: Indonesia
Description
Summary:This final project will analyze models for the spread of HIV/AIDS amongst a population of injecting drug users. Start off with a brief literature review, followed up by a detailed description of Kaplan’s model and another realistic extension of Kaplan’s model. Then perform an equilibrium and stability analysis on these models. There is a critical threshold parameter R0 which determines the behavior of the models. Basic Reproduction Ratio (R0) is expected values of secondary <br /> <br /> <br /> infections caused by a single infected individual in an entirely susceptible population. Basic Reproduction Ratio (R0) indicate whether the endemic disease appear in entirely population or not. If R0 >1, it means that the endemic disease occurs in population. In another way if R0 <1, it means that the endemic disease will not occurs. These results are confirmed and explored further by simulation.