Genetic Control of Invasive Species

Juan Gutierrez
Mathematical Biosciences Institute, The Ohio State University

(January 6, 2011 10:30 AM - 11:30 AM)

Genetic Control of Invasive Species

Abstract

The problem of invasive species is thought to be second only to habitat destruction as a threat to biodiversity. Eradication strategies applied over spatial domains can take in many cases up to decades before achieving local extinction of the targeted invasive species. These practical efforts demand correct estimation of the outcome of the strategy before committing substantial economic and political resources over long periods of time. This talk discusses how the existence of global attractors in an infinite dimensional dynamical system, representing genetic control of an invasive species, can be used in spatial ecology to determine a state of local extinction. It is shown that in some cases it is possible to determine for a finite time the existence of a state of local extinction, and the conditions under which this happens. The Trojan Y Chromosome and the Daughterless Male eradication methods are presented and compared.