A Lotka-Volterra type food chain model with stage structure and time delays

Rui Xu, M. A. J. Chaplain, F. A. Davidson

    Research output: Contribution to journalArticle

    10 Citations (Scopus)

    Abstract

    A three-species Lotka–Volterra type food chain model with stage structure and time delays is investigated. It is assumed in the model that the individuals in each species may belong to one of two classes: the immatures and the matures, the age to maturity is presented by a time delay, and that the immature predators (immature top predators) do not have the ability to feed on prey (predator). By using some comparison arguments, we first discuss the permanence of the model. By means of an iterative technique, a set of easily verifiable sufficient conditions are established for the global attractivity of the nonnegative equilibria of the model.
    Original languageEnglish
    Pages (from-to)90-105
    Number of pages16
    JournalJournal of Mathematical Analysis and Applications
    Volume315
    Issue number1
    DOIs
    Publication statusPublished - 2006

    Fingerprint

    Food Chain Model
    Stage Structure
    Lotka-Volterra
    Time Delay
    Time delay
    Predator
    Prey-predator
    Global Attractivity
    Permanence
    Non-negative
    Model
    Sufficient Conditions

    Keywords

    • Stage structure
    • Time delay
    • Global attractivity

    Cite this

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    title = "A Lotka-Volterra type food chain model with stage structure and time delays",
    abstract = "A three-species Lotka–Volterra type food chain model with stage structure and time delays is investigated. It is assumed in the model that the individuals in each species may belong to one of two classes: the immatures and the matures, the age to maturity is presented by a time delay, and that the immature predators (immature top predators) do not have the ability to feed on prey (predator). By using some comparison arguments, we first discuss the permanence of the model. By means of an iterative technique, a set of easily verifiable sufficient conditions are established for the global attractivity of the nonnegative equilibria of the model.",
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    A Lotka-Volterra type food chain model with stage structure and time delays. / Xu, Rui; Chaplain, M. A. J.; Davidson, F. A.

    In: Journal of Mathematical Analysis and Applications, Vol. 315, No. 1, 2006, p. 90-105.

    Research output: Contribution to journalArticle

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