The Verhulst model is probably the best known macroscopic rate equation in population ecology. It depends on two parameters, the intrinsic growth rate and the carrying capacity. These parameters can be estimated for different populations and are related to the reproductive fitness and the competition for limited resources, respectively. We investigate analytically and numerically the simplest p...

An ex ante adoption model of bovine somatotropin (BST) is estimated with survey data of California milk producers. Theoretical justification is developed for incorporation of socioeconomic explanatory variables in a technology-adoption model. The advantages of a multinomial over a binomial ex ante model also are presented. The multinomial logit model is used to predict BST adoption, to test hyp...

Logistic growth process with nonlocal interactions is considered in one dimension. Spontaneous breakdown of translational invariance is shown to take place at some parameter region, and the bifurcation regime is identified for short and long-range interactions. Domain walls between regions of different order parameter are expressed as soliton solutions of the reduced dynamics for nearest-neighb...

Abstract The interplay between cellular growth and cell-cell signaling is essential for the aggregation proliferation of bacterial colonies, as well self-organization cell tissues. To investigate this interplay, we focus here on collective properties dividing chemotactic colonies by studying their long-time large-scale dynamics through a renormalization group (RG) approach. RG analysis reveals ...