Nixon, Issac J. N.2016-12-212016-12-212015-10Nixon, I. J. N. (2015). An investigation into predator-prey systems. (Master's thesis). University of Chester, United Kingdom.http://hdl.handle.net/10034/620307This paper looked at how to obtain quantitative information about the behaviour of Predator-Prey models using analytical methods, we look at how to solve the Lotka-Volterra model analytically, analysed the stability and behaviour of the critical points of a bounded Lotka-Volterra model and the Holling-Tanner model and how to look for Hopf bifurcation and limit cycles in the Holling-Tanner model. We have also compared a variety of numerical methods used to solve the predator-prey models. It has also used these results to validate our ndings from our analytical analysis.enhttp://creativecommons.org/licenses/by-nc-nd/4.0/predator-prey modelsLotka-Volterra modelHolling-Tanner modelThesis or dissertation