Stability of a continuous time model

Issic Leung, Kondalsamy Gopalsamy

    Research output: Contribution to journalArticle

    Abstract

    A qualitative analysis of an SIV (susceptible-infected-vaccinated) model of the spread of gonorrhea in a homosexually active population is performed. A basic reproduction number ℝo is identified and a threshold nature of the disease is established; it is shown that if ℝo < 1, the disease free equilibrium is globally asymptotically stable implying the disappearance of the disease in the population; if ℝo > 1 then it is shown that the endemic equilibrium is globally asymptotically stable implying the invasion of the population by the disease. These results are established by using the theory of the asymptotically autonomous differential equations.

    Original languageEnglish
    Pages (from-to)51-64
    Number of pages14
    JournalNeural, Parallel and Scientific Computations
    Volume19
    Issue number1-2
    Publication statusPublished - 2011

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  • Cite this

    Leung, I., & Gopalsamy, K. (2011). Stability of a continuous time model. Neural, Parallel and Scientific Computations, 19(1-2), 51-64.