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UID:news259@dmi.unibas.ch
DTSTAMP;TZID=Europe/Zurich:20180716T215544
DTSTART;TZID=Europe/Zurich:20141205T110000
SUMMARY:Seminar in Numerical Analysis: Nakul Chitnis (Swiss Tropical Health
  Institute\, Basel)
DESCRIPTION:Malaria is an infectious disease\, spread through mosquito bite
 s\, that is  responsible for substantial morbidity and mortality around th
 e world.  In the last decade\, through increased funding and a global scal
 e up of  control interventions that target mosquitoes\, significant reduct
 ions in  transmission and disease burden have been achieved. However\, the
 se gains  in public health are faced with the twin threat of a decrease in
   funding for malaria control and the development of resistance  (physiolo
 gical and behavioural) in mosquitoes.\\r\\nMathematical models  can help t
 o determine more efficient combinations of existing and new  interventions
  in reducing malaria transmission and delaying the spread  of resistance. 
 We present difference equation models of mosquito  population dynamics and
  malaria in mosquitoes\; and ordinary differential  equation models of mos
 quito movement and population dynamics. We  analyse these models to provid
 e threshold conditions for the survival of  mosquitoes and show the existe
 nce of invariant positive states\; and run  numerical simulations to provi
 de quantitative comparisons of  interventions that target mosquitoes with 
 varying levels of resistance.
X-ALT-DESC:Malaria is an infectious disease\, spread through mosquito bites
 \, that is  responsible for substantial morbidity and mortality around the
  world.  In the last decade\, through increased funding and a global scale
  up of  control interventions that target mosquitoes\, significant reducti
 ons in  transmission and disease burden have been achieved. However\, thes
 e gains  in public health are faced with the twin threat of a decrease in 
  funding for malaria control and the development of resistance  (physiolog
 ical and behavioural) in mosquitoes.\nMathematical models  can help to det
 ermine more efficient combinations of existing and new  interventions in r
 educing malaria transmission and delaying the spread  of resistance. We pr
 esent difference equation models of mosquito  population dynamics and mala
 ria in mosquitoes\; and ordinary differential  equation models of mosquito
  movement and population dynamics. We  analyse these models to provide thr
 eshold conditions for the survival of  mosquitoes and show the existence o
 f invariant positive states\; and run  numerical simulations to provide qu
 antitative comparisons of  interventions that target mosquitoes with varyi
 ng levels of resistance. 
DTEND;TZID=Europe/Zurich:20141205T120000
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