In this paper, we demonstrate some special behavior of steady-state solutions to a predator-prey model due to the introduction of spatial heterogeneity. We show that positive steady-state solutions with certain prescribed spatial patterns can be obtained when the spatial environment is designed suitably. Moreover, we observe some essential differences of the behavior of our model from that of t...

BACKGROUND The purpose of this study was to extend the analysis of neighborhood effects on child behavioral outcomes in two ways: (1) by examining the geographic extent of the relationship between child behavior and neighborhood physical conditions independent of standard administrative boundaries such as census tracts or block groups and (2) by examining the relationship and geographic extent ...

In order to better understand human navigation, way-finding, and general spatial behavior, we are conducting research into the effects of social interactions among individuals within a shared space. This paper describes work in the integration of instrumentation of active public areas, macroscopic modeling, microscopic simulation, and experimentation with human subjects. The aim is to produce e...