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Population dynamics with global regulation: the conserved Fisher equation
T J Newman1, E B Kolomeisky, J Antonovics
1Department of Physics and Astronomy, Arizona State University, Tempe, Arizona 85284, USA.
Physical Review Letters
|July 13, 2004
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.