The Second SIAM Gators Student Conference
University of Florida
Gainesville, FL
March 3-5, 2009



Contention of Mating Agents Using Trojan Chromosomes

Juan B. Gutierrez and Monica K. Hurdal
Department of Mathematics
Florida State University

We present a strategy for contention and/or eradication of biological agents capable of mating, i.e. mating agents, whose spread can be modeled as a diffusion process. If intervention in the form of contention measures is introduced into the system, the questions that we will try to answer are: What are the conditions that guarantee success of contention measures against mating agents? What analytical test could we conduct in advance to predict the success or failure of contention measures? Particularly, we will study the use of Trojan chromosomes as a contention measure. The problem's complexity grows with the fact that geographic domains do not necessarily correspond to geometric domains of biological activity; we propose the use of diffusivity maps based upon a Karhunen-LoƩve transform of ecological features, in order to account for variable diffusivity in ecological domains at meso, topo and microscales.



Copyright 2009 by Monica K. Hurdal. All rights reserved.