Modeling the Population Dynamics of Danaus Plexippus, L.
Date of Award
2003
Document Type
Thesis
Degree Name
Bachelors
Department
Natural Sciences
First Advisor
McDonald, Patrick
Keywords
Population Dynamics, Monarch Butterfly, Mathematical Models, Difference Equations, Discrete-Time Model
Area of Concentration
Biology
Abstract
Population dynamics of Danaus plexippus, L. are studied and a series of models are developed in attempt to portray key characteristics of the eastern North American migratory monarch butterfly populations. Many issues dealing with density dependence, mortality, and conservation of the species and its migratory behavior are addressed. While the monarch butterfly is a relatively well studied insect, it is apparent that little is known about the mechanisms that control generational fecundity and ultimately population fluctuations of Danaus plexippus. In my research, I examine such mechanisms that may influence generational fecundity. Most importantly the presence of inverse density dependence in monarch populations is identified and supported by several studies to be discussed. The monarch population model is then modified by an Allee effect (inverse density dependence) and I explore dynamics that emerge from this model.
Recommended Citation
Stein, Julie, "Modeling the Population Dynamics of Danaus Plexippus, L." (2003). Theses & ETDs. 3318.
https://digitalcommons.ncf.edu/theses_etds/3318