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SUMMARY:Optimal Treatment of an SIS Disease with Two Strains - Selma Telal
 agic\, Faculty of Economics
DTSTART:20111024T110000Z
DTEND:20111024T120000Z
UID:TALK33678@talks.cam.ac.uk
CONTACT:Prof. Julia Gog
DESCRIPTION:This paper explores optimal treatment of an SIS (Susceptible-I
 nfected-Susceptible) disease that has two strains with different infectivi
 ties. When we assume that neither eradication nor full infection are possi
 ble\, it is shown that there are two categories of equilibria. First\, the
 re are two continua of interior equilibria characterised by a fixed\, posi
 tive total level of infection\, where both strands of the disease prevail.
  Second\, there are two sets of equilibria where one strand of the disease
  is eradicated asymptotically. The feasibility of equilibria depends on pa
 rameter assumptions\; a combination of low natural rate of recovery and la
 rge difference between infectivities leaves only a small proportion of equ
 ilibria as feasible. Simulations exploring the relationship between cost a
 nd optimal policy are carried out. There exists a parameter range such tha
 t\, counter-intuitively\, it is optimal to allow the high-infectivity stra
 in of the disease to prevail\, while asymptotically eradicating the low-in
 fectivity strain. Within this parameter range\, fixed and variable optimal
  policy lead us to different steady states. There is added benefit from po
 licy flexibility.
LOCATION:DD47\, Cripps Court\, Queens' College
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