An SIS-type Marketing Model on Random Networks

Marketing on random networks displays similarities to epidemiological models in the sense that \word-of-mouth" information passes between individuals and may \infect" susceptible buyers such that they end up buying the product. The dierence to epidemics is that there are usually many competing products (rather than just one disease), and in addition to word-of-mouth transmission, products are also advertised by the producers, which can be thought of as external nodes connected to the network. In this paper we develop a model in which these various transmission pathways compete, and, in addition, where product fatigue and product switching are possible. This is a genuine and realistic extension of the model developed in [4], where a customer would never abandon a product after purchase. The model presented here is similar to and was inspired by SIS epidemiological models.