Modelling Prey in Discrete Time Predator-Prey Systems

A single predator, single prey ecological model, in which the behaviour of the populations is reliant upon two control parameters has been expanded to allow for multiple predators and prey to occupy the ecosystem. A focus has been placed on analysing the diversity of the ecosystem that develops as the model runs, assessing how many predator or prey species survive. This paper compares a standard Ricker model representation of prey behaviour with models based on the logistic and tent maps. It is found that the overall dynamics of the system can depend significantly on the model used.