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http://hdl.handle.net/10603/411053
Title: | Population level dynamic modelling of antibiotic resistance analyzing nonlinear interactions among disease transmission human behaviour and socio economic growth |
Researcher: | Malik, Bhawna |
Guide(s): | Bhattacharyya, Samit |
Keywords: | Mathematics Mathematics Interdisciplinary Applications Physical Sciences |
University: | Shiv Nadar University |
Completed Date: | 2022 |
Abstract: | Game theory coupled with dynamical systems theory has proven to be a very powerful tool for studying nonlinear interactions and the evolution of complex systems. While strategic interactions among components can be judged through game-theoretic lenses, nonlinear dynamics provides a platform to observe patterns of strategies evolving over time. newline newlineI have studied the ever-growing burden of Antibiotic drug resistance using evolutionary game theory and nonlinear dynamics. Antimicrobial resistance is a global challenge, and a serious public health issue, especially in low and lower-middle-income countries. The emergence of the new mutant pathogen is a result of complex interactions among human behaviour, disease transmission, and social and economic factors in a population. For example, self-medication of antimicrobials through Over the Counter (OTC) drug sales plays a major role in the ever-increasing burden of drug resistance in the community. The high economic burden from drug resistance pushes developing nations towards more economically challenged situations. newline newlineTo understand the dynamics of this multi-scale, complex, nonlinear phenomenon, I have developed mathematical frameworks using coupled differential equations, multi-type branching process theory, and evolutionary game theory. Analyzing those models, I found key qualitative and quantitative aspects of the process and their correlation with several parameters. For example, I have shown that the combined impact of economy, infections, and self-medication yield synergistic interactions through feedback on each other, presenting the emergence of drug resistance as a self-reinforcing process in the population. I have derived the threshold of antibiotic utilization that can control or stop increasing the burden of resistance in a community. Our game-theoretic approach encounters self-medication as an evolutionary game and disentangles complexities of social choices, economics, and its consequences on the burden of resistance at the population level. |
Pagination: | |
URI: | http://hdl.handle.net/10603/411053 |
Appears in Departments: | Department of Mathematics |
Files in This Item:
File | Description | Size | Format | |
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80_recommendation.pdf | Attached File | 146.59 kB | Adobe PDF | View/Open |
abstract.pdf | 316.37 kB | Adobe PDF | View/Open | |
acknowledgement.pdf | 53.65 kB | Adobe PDF | View/Open | |
bibliography.pdf | 169.51 kB | Adobe PDF | View/Open | |
certificate.pdf | 48.99 kB | Adobe PDF | View/Open | |
chapter-1.pdf | 236.71 kB | Adobe PDF | View/Open | |
chapter-2.pdf | 135.7 kB | Adobe PDF | View/Open | |
chapter-3.pdf | 400.41 kB | Adobe PDF | View/Open | |
chapter-4.pdf | 2.73 MB | Adobe PDF | View/Open | |
chapter-5.pdf | 2.71 MB | Adobe PDF | View/Open | |
chapter-6.pdf | 3.65 MB | Adobe PDF | View/Open | |
chapter-7.pdf | 1.13 MB | Adobe PDF | View/Open | |
chapter-8.pdf | 243.09 kB | Adobe PDF | View/Open | |
content.pdf | 159.48 kB | Adobe PDF | View/Open | |
declaration.pdf | 48.75 kB | Adobe PDF | View/Open | |
list of tables and figures.pdf | 200.25 kB | Adobe PDF | View/Open | |
title.pdf | 58.7 kB | Adobe PDF | View/Open |
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