Population dynamics with global regulation: the conserved fisher equation

T. J. Newman; E. B. Kolomeisky; J. Antonovics

doi:10.1103/PhysRevLett.92.228103

Population dynamics with global regulation: the conserved fisher equation

T. J. Newman, E. B. Kolomeisky, J. Antonovics

Research output: Contribution to journal › Article › peer-review

11 Citations (Scopus)

Abstract

A conserved version of the fisher equation with reference to population dynamics with global regulation was analyzed. A model was developed to describe the spatially extended populations with fixed number of indivisuals. A rich spectrum of dynamical phases including pseudotraveling wave was observed. The results show that there was a phase transition from a locally constrained high density state to a low density fragmented state in the presence of the Allee effect.

Original language	English
Article number	228103
Number of pages	4
Journal	Physical Review Letters
Volume	92
Issue number	22
DOIs	https://doi.org/10.1103/PhysRevLett.92.228103
Publication status	Published - 4 Jun 2004

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10.1103/PhysRevLett.92.228103

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abstract = "A conserved version of the fisher equation with reference to population dynamics with global regulation was analyzed. A model was developed to describe the spatially extended populations with fixed number of indivisuals. A rich spectrum of dynamical phases including pseudotraveling wave was observed. The results show that there was a phase transition from a locally constrained high density state to a low density fragmented state in the presence of the Allee effect.",

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AB - A conserved version of the fisher equation with reference to population dynamics with global regulation was analyzed. A model was developed to describe the spatially extended populations with fixed number of indivisuals. A rich spectrum of dynamical phases including pseudotraveling wave was observed. The results show that there was a phase transition from a locally constrained high density state to a low density fragmented state in the presence of the Allee effect.

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Population dynamics with global regulation: the conserved fisher equation

Abstract

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