Two competing consumer species may coexist using a single homogeneous resource when the more efficient consumer--the one having the lowest equilibrium resource density--has a more nonlinear functional response that generates consumer-resource cycles. We extend this model of nonequilibrium coexistence, as proposed by Armstrong and McGehee, by putting the interaction into a spatial context using ...

Dispersal of organisms may play an essential role in the coexistence of species. Recent studies of the evolution of dispersal in temporally varying environments suggest that clones differing in dispersal rates can coexist indefinitely. In this work, we explore the mechanism permitting such coexistence for a model of dispersal in a patchy environment, where temporal heterogeneity arises from end...

We show that all so(N)_{1} universality class quantum criticalities emerge when one-dimensional generalized cluster models are perturbed with Ising or Zeeman terms. Each critical point is described by a low-energy theory of N linearly dispersing fermions, whose spectrum we show to precisely match the prediction by so(N)_{1} conformal field theory. Furthermore, by an explicit construction we sho...

Motivated by (continuous) facility location, we study the problem of dispersing and grouping points on a set segments (of streets) in plane. In former problem, given n disjoint line plane, investigate computing point each such that minimum Euclidean distance between any two these is maximized. We prove this 2D dispersion NP-hard, fact, it NP-hard even if all are parallel unit length. This contr...