Special Session 8: 

Small data blow-up and ecological damping in certain three species food-chain models

rana parshad
iowa state university
USA
Co-Author(s):    Matthew Beauregard, Said Kouachi, Kelly Black, Emmanuel Quansah
Abstract:
In this talk I will present some recent finite time blow-up results in three species population models, as a lead into studying certain explosive invasive populations, such as the Burmese python in South Florida in the US. The blow-up is seen to occur for both small and large initial conditions. I will next introduce the idea of ecological damping as a means of controlling blow-up in such invasive populations, whilst avoiding non-target effects, due to classical chemical and biological control.