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écologie des virus influenza aviaires en Camargue - IRD

écologie des virus influenza aviaires en Camargue - IRD

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Chapitre IIDiffer<strong>en</strong>t studies within the Mediterranean wild bird populations revealed low preval<strong>en</strong>ces (1to 4%) of AIV infection (De Marco et al. 2004, Lebarb<strong>en</strong>chon et al. 2007a) but a rec<strong>en</strong>tpaper highlighted a higher preval<strong>en</strong>ce (up to 12%) in Northern Europe (Wall<strong>en</strong>st<strong>en</strong> et al.2007). H<strong>en</strong>ce, the preval<strong>en</strong>ce observed in our study area cannot be due only to a migratoryprocess. The introduction of infectious individuals within our study area should not exceedone perc<strong>en</strong>t at most and if we consider one perc<strong>en</strong>t of births as Infectious we obtain similarresults for our analysis.The duration of AIV immunity in wild birds is not well known, but we can reasonablyassume that immunity will be mainly subtype­specific and that giv<strong>en</strong> the high mutation rateof AIV (Ch<strong>en</strong> and Holmes 2006) immunity escape might occur every year. Thus, immunepreval<strong>en</strong>ce should not be higher than maximal infectious preval<strong>en</strong>ce observed elsewhereduring one season. This leads to include a factor of vaccination rate at “birth”. The analysisof a community with an introduction of thirty perc<strong>en</strong>t of immune individuals (suggested byDe Marco et al. 2004) at birth does not change results.Assuming that a population increase leads to no deaths is a very strong hypothesis.However, we tried to add constant birth and death rates to this forced demographic parameter(i.e. b m =b m +c and d m =d m +c). We included into our differ<strong>en</strong>t sc<strong>en</strong>arios the maximal birdlifespan recorded in the <strong>Camargue</strong> (c = 20 years­1). Table S1 pres<strong>en</strong>ts the values of b m andd m .Parameter estimationsFor simulations, we started our model at the disease­free equilibrium (S = N, I = R = B = 0)with one infectious bird. Assuming that transi<strong>en</strong>t dynamics go on during t<strong>en</strong> years we ran our84

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