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Mathematical Models and Inverse Algorithms for Childhood Infectious Diseases with Vaccination - Case Studies in Measles
DownloadFall 2014
Children are at a high risk of infection since they have not yet developed mature immunity. Childhood infectious diseases, such as measles, chicken pox and mumps, remain epidemic and endemic around the world. Yet, their dynamics are still not fully understood. SIR-type models have been proposed...
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Fall 2017
This thesis focuses on formulating and analyzing non linear models for microbial dynamics vis-a-vis human and environmental health. Firstly, we develop and investigate a stoichiometric organic matter decomposition model in a chemostat culture that incorporates the dynamics of grazers. This...
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Modelling Impacts of Producer Turnover Time and Elevated Atmospheric Carbon Dioxide on Food Chains
DownloadFall 2020
Ecological stoichiometry is a framework that allows explicit consideration of nutrient restrictions on growth, and can be used to answer important ecological questions. First, we consider the impact of the turnover rate of producer biomass on ecosystems, since it is usually much faster in aquatic...
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Modelling phytoplankton across many scales: transient dynamics, human interactions, and niche differentiation in the light spectrum
DownloadFall 2021
In recent decades freshwater lakes have seen an increase in human presence. A common byproduct of this human presence is anthropogenic nutrient pollution resulting in eutrophication, a term that is becoming all too synonymous with harmful algal blooms. It is well known that phytoplankton...
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Spring 2023
Coral reefs are essential to the marine ecosystem, and provide some of the most diverse habitats in the world. Coral reef fisheries contribute 6.8 billion to the economy a year globally. However, coral reefs are under significant threat because of human activities such as overfishing, ocean...