Structured Population Models: Applied to Predator Prey Population Dynamics

Abstract

Predator prey population dynamics can be modeled using a structure that is bought forth by characteristics of the individual. In this thesis we explore such individual state based models by both providing a theoretical background and by examining satiation and handling time based models. The former entails providing a framework underlying such models. The latter entails deriving properties of these models from mathematical derivations inspired by intuition from simulations. In doing so we clarify how one can use such models to describe and analyze a population dynamic both from a theoretical and practical point of view.