ABSTRACT

Interacting population models are relevant where two or more populations depend on each other. We study, in detail, four examples of interacting populations: (i) an epidemic model, (ii) a predator-prey interaction, (iii) a competing species interaction, and (iv) a model of a battle between two opposing groups. In this chapter, we concentrate on formulating the differential equation model which is governed by two simultaneous first-order differential equations. We solve the differential equations numerically using Maple. In Chapter 6, we return to the models and develop analytic techniques which give more general insights into the models developed here.