MBI Videos

Videos by CTW: Spatio-Temporal Dynamics in Disease Ecology and Epidemiology

  • Basic reproduction numbers for reaction-diffusion epidemic models
    Wendi Wang
    The basic reproduction number and its computation formulae are established for epidemic models with reaction-diffusion structures. It is proved that the basic reproduction number provides the threshold value for disease invasion in the sense that the disease-free steady state is asymptotically stable if the basic reproduction number is less than unity and the disease is un...
  • Spatio-Temporal Dynamics in Disease Ecology and Epidemiology
    Shigui Ruan
    We develop spatial models of vector-borne disease dynamics on a network of patches to examine how the movement of humans in heterogeneous environments affects transmission. We show that the movement of humans between patches is sufficient to maintain disease persistence in patches with zero transmission. We construct two classes of models using different approaches: (i) La...
  • Insecticide resistance and its implications for mosquito and malaria control
    Stephen Gourley
    Mosquitoes can rapidly develop resistance to insecticides, which is a big problem in malaria control. Current insecticides kill rapidly on contact, but this leads to intense selection for resistance because young adults are killed. Of considerable current interest is the possibility of slowing down or even halting the evolution of resistance. Biologists believe that much w...
  • Run for your Life
    Odo Diekmann
    In 1927 Kermack and McKendrick introduced and analyzed a rather general epidemic model (nota bene : their model takes the form of a nonlinear renewal equation and the familiar SIR model is but a very special case !). The aim of this lecture is to revive the spatial variant of this model, as studied in the late seventies by Horst Thieme and myself (see the AMS book 'Sp...

View Videos By