Xiaodong Lin

University of Alberta, Edmonton, Alberta, Canada

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Publications (2)3.15 Total impact

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    ABSTRACT: A model for HIV transmission is formulated for a homosexual population of varying size, with recruitment into the susceptible class proportional to the active population size and with stages of progression to AIDS. Analysis of this model includes identifying the threshold that determines whether the disease dies out or proportions remain endemic and establishing criteria that determine whether the population size decays asymptotically exponentially to zero or grows asymptotically exponentially to infinity. In an analogous heterosexual model, the conservation of heterosexual contacts is shown to imply that this two-sex model reduces to the one-sex model.
    No preview · Article · Jan 1994 · Mathematical Biosciences
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    Xiaodong Lin · P van den Driessche
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    ABSTRACT: A threshold parameterR 0 is identified for an SIRS epidemiological model which has nonlinear incidence and a distributed delay for transfer out of the removed class. ForR 0 < 1, the disease free equilibrium is proved to be the global attractor for all solutions.
    Preview · Article · Feb 1992 · Journal of Mathematical Biology