ABSTRACT

Murray's chapter is a powerful overview on nonlinear dynamic models. These models have proved themselves highly successful in mathematical biology. In Murray's chapter he provides a succinct and practical data-based overview of how these models actually work in application. These models include logistic growth, catastrophe phenomena, delay models (which can be cyclic), models of two species in symbiosis, competition, or predatory-prey relationship. Discrete data and discrete models are also discussed, as is chaos.