title: Population dynamics with global regulation: the conserved Fisher equation.
abstract: We introduce and study a conserved version of the Fisher equation. Within a population biology context, this model describes spatially extended populations in which the total number of individuals is fixed due to either biotic or environmental factors. We find a rich spectrum of dynamical phases including a pseudotraveling wave and, in the presence of the Allee effect, a phase transition from a locally constrained high density state to a low density fragmented state.
authors.affiliation: Department of Physics and Astronomy, Arizona State University, Tempe, Arizona 85284, USA.
authors.forename: T J
authors.initials: TJ
authors.lastname: Newman
authors.forename: E B
authors.initials: EB
authors.lastname: Kolomeisky
authors.forename: J
authors.initials: J
authors.lastname: Antonovics
mesh_terms: D008954:Models, Biological; D011157:Population Dynamics