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Full-Text Articles in Physical Sciences and Mathematics

Imperfect Immunity And The Stability Of A Modified Kermack-Mckendrick Model, Kaylee Sims May 2023

Imperfect Immunity And The Stability Of A Modified Kermack-Mckendrick Model, Kaylee Sims

Honors Theses

The classic Kermack-McKendrick model of mathematical epidemiology suggests that a population is only in equilibrium when there is no disease present. In the modern era, we have several cyclic infectious diseases that show no signs of eradication, despite global health measures. In this thesis, we introduce a coefficient of waning immunity in order to produce a modified Kermack-McKendrick model and analyze whether the model yields system stability with a certain amount of infection present. Ultimately, the model is incongruent with real-world case data, with its most glaring failure being exponential dampening of the height of each disease case peak due …


The Threat Of Hospital Wastewater: An Evidence-Based Call To Action, Ann P. Nguyen May 2023

The Threat Of Hospital Wastewater: An Evidence-Based Call To Action, Ann P. Nguyen

DNP Qualifying Manuscripts

Introduction: Hospital wastewater carries a unique composition of pollutants, a burden that includes high chemical and biological residuals. These pollutants are discharged into sewage treatment plants and natural environments where they contaminate human water sources and larger ecosystems. Water treatment plants are not designed to treat the high loads of biomedical waste and persistent organic compounds found in hospital wastewater and therefore pollutants survive in conventionally treated water. Evidence of contaminated soil, municipal wastewater, surface water, ground water, and even drinking water have been demonstrated in studies conducted around the world highlighting the ubiquity of the problem. Hospital effluent as …


How To Analyze Parental Conversation Online: A Computational Stack For Studying Vaccine Hesitancy., Carter Willets Ward Jan 2023

How To Analyze Parental Conversation Online: A Computational Stack For Studying Vaccine Hesitancy., Carter Willets Ward

Graduate College Dissertations and Theses

Despite national and international organizations such as the CDC and WHO recognizing the value of vaccines and their importance in addressing public health concerns, there has been a decline in coverage for even the most established vaccines over the past three years. The global COVID-19 pandemic has contributed to this decline via decreases in medical resource accessibility and an increase in vaccine hesitancy. Even before the COVID-19 pandemic, WHO had recognized vaccine hesitancy as one of the top ten threats to public health. In the present work, we introduce a background account of (1) vaccine hesitancy and (2) anti-vax activism, …