ABSTRACT

The previous chapter covered a general class of models for predator-prey interactions for which the predator growth rate was assumed to depend solely on prey density, while the effects of predator population were ignored. These are called strictly prey-dependent models and constitute the classical class of predator-prey models. Despite their rich dynamics and their ability to duplicate real-life behavior of many biological systems, the strictly prey-dependent models were shown to be unable to predict a number of experimental observations. These models cannot predict, for instance, the situation in which both populations can either coexist or become extinct depending on their initial values. This type of mutual extinction was, for instance, observed in the protozoan, Paramecium and its predator Didinium [3, 124].