Population models with mixed boundary conditions and constant yield harvesting

Lisa McFerrin

In this paper I focus on reaction-diffusion equations with constant yield harvesting in one dimension. I analyze the logistic growth of two point boundary value problems using the quadrature method to study the effects on the existence of positive steady states. These equations represent biological models such as the Atlantic Blue Fin Tuna where there may exist two harvesting rates within the domain. (Advisor Martin Klaus)