Attractivity in a delayed three-species ratio-dependent predator-prey system without dominating instantaneous negative feedback

Rui Xu, Lan-sun Chen, M. A. J. Chaplain

    Research output: Contribution to journalArticle

    Abstract

    A delayed three-species ratio-dependent predator-prey food-chain model without dominating instantaneous negative feedback is investigated. It is shown that the system is permanent under some appropriate conditions, and sufficient conditions are derived for the global attractivity of the positive equilibrium of the system.
    Original languageEnglish
    Pages (from-to)317-332
    Number of pages16
    JournalActa Mathematicae Applicatae Sinica
    Volume19
    Issue number2
    DOIs
    Publication statusPublished - 2003

    Fingerprint

    Predator prey systems
    Attractivity
    Ratio-dependent
    Negative Feedback
    Predator-prey System
    Instantaneous
    Food Chain Model
    Feedback
    Prey-predator Model
    Global Attractivity
    Sufficient Conditions

    Keywords

    • Time delay
    • Uniform persistence
    • Global attractivity

    Cite this

    @article{0942475e38a540bca69493881bd13687,
    title = "Attractivity in a delayed three-species ratio-dependent predator-prey system without dominating instantaneous negative feedback",
    abstract = "A delayed three-species ratio-dependent predator-prey food-chain model without dominating instantaneous negative feedback is investigated. It is shown that the system is permanent under some appropriate conditions, and sufficient conditions are derived for the global attractivity of the positive equilibrium of the system.",
    keywords = "Time delay, Uniform persistence, Global attractivity",
    author = "Rui Xu and Lan-sun Chen and Chaplain, {M. A. J.}",
    note = "dc.publisher: Springer",
    year = "2003",
    doi = "10.1007/s10255-003-0107-1",
    language = "English",
    volume = "19",
    pages = "317--332",
    journal = "Acta Mathematicae Applicatae Sinica",
    issn = "0168-9673",
    publisher = "Springer Verlag",
    number = "2",

    }

    Attractivity in a delayed three-species ratio-dependent predator-prey system without dominating instantaneous negative feedback. / Xu, Rui; Chen, Lan-sun; Chaplain, M. A. J.

    In: Acta Mathematicae Applicatae Sinica, Vol. 19, No. 2, 2003, p. 317-332.

    Research output: Contribution to journalArticle

    TY - JOUR

    T1 - Attractivity in a delayed three-species ratio-dependent predator-prey system without dominating instantaneous negative feedback

    AU - Xu, Rui

    AU - Chen, Lan-sun

    AU - Chaplain, M. A. J.

    N1 - dc.publisher: Springer

    PY - 2003

    Y1 - 2003

    N2 - A delayed three-species ratio-dependent predator-prey food-chain model without dominating instantaneous negative feedback is investigated. It is shown that the system is permanent under some appropriate conditions, and sufficient conditions are derived for the global attractivity of the positive equilibrium of the system.

    AB - A delayed three-species ratio-dependent predator-prey food-chain model without dominating instantaneous negative feedback is investigated. It is shown that the system is permanent under some appropriate conditions, and sufficient conditions are derived for the global attractivity of the positive equilibrium of the system.

    KW - Time delay

    KW - Uniform persistence

    KW - Global attractivity

    U2 - 10.1007/s10255-003-0107-1

    DO - 10.1007/s10255-003-0107-1

    M3 - Article

    VL - 19

    SP - 317

    EP - 332

    JO - Acta Mathematicae Applicatae Sinica

    JF - Acta Mathematicae Applicatae Sinica

    SN - 0168-9673

    IS - 2

    ER -