Modeling the Population Dynamics of Danaus Plexippus, L.

Julie Stein

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.

Rights

This bibliographic record is available under the Creative Commons CC0 public domain dedication. The New College of Florida, as creator of this bibliographic record, has waived all rights to it worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law.

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