A long history of dynamical analyses of food-web networks has led to important insights into the effects of complexity, omnivory and interaction strength on food-web stability. Some recent insights are based on nonlinear bioenergetic consumer-resource models that display chaotic behavior in...

Feeding relationships can cause invasions, extirpations, and population fluctuations of a species to dramatically affect other species within a variety of natural habitats. Such strong effects rarely propagate through food webs more than three links away from the initial perturbation. However,...

A number of recent studies have focused on the statistical properties of networked systems such as social networks and the World-Wide Web. Researchers have concentrated particularly on a few properties which seem to be common to many networks: the small-world property, power-law degree...

Theoretical studies of the stability of food webs have generally not incorporated space as a contingency affecting coexistence of species. Here, I considered the importance of spatial heterogeneity on the stability of an individual-based food web model. Individual agents diffused on a lattice of...