Population dynamics with global regulation: the conserved Fisher equation.
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.
Newman
T J
TJ
Department of Physics and Astronomy, Arizona State University, Tempe, Arizona 85284, USA.
Kolomeisky
E B
EB
Antonovics
J
J
D008954:Models, Biological; D011157:Population Dynamics