Population dynamics with global regulation

the conserved fisher equation

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

    Research output: Contribution to journalArticle

    8 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 languageEnglish
    Article number228103
    Number of pages4
    JournalPhysical Review Letters
    Volume92
    Issue number22
    DOIs
    Publication statusPublished - 4 Jun 2004

    Cite this

    Newman, T. J. ; Kolomeisky, E. B. ; Antonovics, J. / Population dynamics with global regulation : the conserved fisher equation. In: Physical Review Letters. 2004 ; Vol. 92, No. 22.
    @article{8ac56b320e1a494ca667d8e0b89f51d6,
    title = "Population dynamics with global regulation: the conserved fisher equation",
    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.",
    author = "Newman, {T. J.} and Kolomeisky, {E. B.} and J. Antonovics",
    year = "2004",
    month = "6",
    day = "4",
    doi = "10.1103/PhysRevLett.92.228103",
    language = "English",
    volume = "92",
    journal = "Physical Review Letters",
    issn = "0031-9007",
    publisher = "American Physical Society",
    number = "22",

    }

    Population dynamics with global regulation : the conserved fisher equation. / Newman, T. J.; Kolomeisky, E. B.; Antonovics, J.

    In: Physical Review Letters, Vol. 92, No. 22, 228103, 04.06.2004.

    Research output: Contribution to journalArticle

    TY - JOUR

    T1 - Population dynamics with global regulation

    T2 - the conserved fisher equation

    AU - Newman, T. J.

    AU - Kolomeisky, E. B.

    AU - Antonovics, J.

    PY - 2004/6/4

    Y1 - 2004/6/4

    N2 - 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.

    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.

    UR - http://www.scopus.com/inward/record.url?scp=3042798243&partnerID=8YFLogxK

    U2 - 10.1103/PhysRevLett.92.228103

    DO - 10.1103/PhysRevLett.92.228103

    M3 - Article

    VL - 92

    JO - Physical Review Letters

    JF - Physical Review Letters

    SN - 0031-9007

    IS - 22

    M1 - 228103

    ER -