Competition Models

Michael G. Waldon

 

Abstract: Two popular models explain the dynamics of organisms competing for common environmental limiting factors. The first is the Verhulst-Pearl logistic equation and its extension to the Lotka-Voltera equation for interspecific competition. This model is most popular among ecologists. The second is the model proposed and tested by Herbert et al. (1956), which has found a wide variety of applications. These include modeling of laboratory (Young et al. 1969) industrial (Aiba et al. 1965), and waste treatment (Metcalf and Eddy, Inc. 1972) processes. I here show the relationship between these models.

 

The American Naturalist, 109(1975):487-489.