Open Access. Powered by Scholars. Published by Universities.®
Articles 1 - 2 of 2
Full-Text Articles in Entire DC Network
Applications With Discrete And Continuous Models: Harvesting And Contact Tracing, Danielle L. Burton
Applications With Discrete And Continuous Models: Harvesting And Contact Tracing, Danielle L. Burton
Doctoral Dissertations
Harvest plays an important role in management decisions, from fisheries to pest control. Discrete models enable us to explore the importance of timing of management decisions including the order of events of particular actions. We derive novel mechanistic models featuring explicit within season harvest timing and level. Our models feature explicit discrete density independent birth pulses, continuous density dependent mortality, and density independent harvest level at a within season harvest time. We explore optimization of within-season harvest level and timing through optimal control of these population models. With a fixed harvest level, harvest timing is taken as the control. Then …
Data-Driven Modeling Of The Heroin And Fentanyl Epidemic And The Harvesting Of Trees In West Africa, Tricia Marie Phillips
Data-Driven Modeling Of The Heroin And Fentanyl Epidemic And The Harvesting Of Trees In West Africa, Tricia Marie Phillips
Doctoral Dissertations
The opioid epidemic has had a strong presence in the United States in recent years. Drug overdose deaths involving opioids have skyrocketed and the lacing of heroin with fentanyl has played a significant role in this. In order to investigate the dynamics behind the opioid epidemic and predict its trajectory, we formulate a system of ordinary differential equations that incorporate the movement of individuals among classes of opioid use. We estimate parameter values by fitting to Tennessee data since the time the epidemic was established in the state. The trajectory of the epidemic suggests the number of addicts and overdose …