Global stability of a Lotka-Volterra type predator-prey model with stage structure and time delay

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

    Research output: Contribution to journalArticle

    31 Citations (Scopus)

    Abstract

    A delayed Lotka-Volterra type predator-prey model with stage structure for predator is investigated. It is assumed in the model that the individuals in the predator population 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 do not have the ability to prey. By analyzing characteristic equations and using an iterative technique, a set of easily verifiable sufficient conditions are derived for the local and global stability of the nonnegative equilibria of the model. Numerical simulations are carried out to illustrate the validity of our results.
    Original languageEnglish
    Pages (from-to)863-880
    Number of pages18
    JournalApplied Mathematics and Computation
    Volume159
    Issue number3
    DOIs
    Publication statusPublished - 2004

    Keywords

    • Stage structure
    • Time delay
    • Characteristic equation
    • Global stability

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