p SAC - creden - Université Montpellier I
p SAC - creden - Université Montpellier I p SAC - creden - Université Montpellier I
!"#$%&'()'*+",%$#&'-)'''''''''''''''''''''''''''''''.&/$%01'()'2&3'405&3'5&'6%1"1/&4&1$'"7$"$%63)' %)! W ! EI < WII 7!4;>)/&!kF%!&(!! u = S " E ,u I = 0!]! %)! W ! EI > WII 7!4;>)/&!gt!&(!! u " I ∈⎡0,S I tq ⎤ E ,u I ⎣ − ⎦ = 0 !5! ! ! ! ! ! ! %)! t > τ pop !!,!4;>)/&!kF%!*8!YF%!*8!gt5!-&!i&3124&!&.(!23*4.!0*++;! I @24!,! ( ) u ! W = max W ! EI ,W ,W !! pop II EE Y(!3A;B8)3)=4&!@24!,! %)! W u pop = WII 7!4;>)/&!kF%!&(!!( u,u I I ) ∈ D !]! u %)! W ! pop = W EI 7!4;>)/&!kt!&(!!( u,u I I ) ∈ DEI !]! %)! W u pop = WEE 7!4;>)/&!YF%!&(!( u,u I I ) II ∈ D " 5! ! ! 6()'.&$)'-+,91"$:1$'4+-'+,-+)()>,$*0.$5$)&'$()+;
!"#$%&'()'*+",%$#&'-)'''''''''''''''''''''''''''''''.&/$%01'()'2&3'405&3'5&'6%1"1/&4&1$'"7$"$%63)' 62+.!'&!'2.7! E !.8@@*4(&!38)!28..)!3&.!0&8832()*+!!"8'0#'!7"8!&(!3*4.B8&!3&.!*=3)>2()*+.!0&! .&49)'&! 8+)9&4.&3! 4&'*894&+(! 3A8=)B8)(;! &(! 32! +*+G0).'4)/)+2()*+! _rM6a7! 32! 1*+'()*+!0&!@4*1)(!0&!32!1)4/&! I !&.(!0*++;&!@24!,! ! ( ) ⎧max W " ! II −α S E,W EI ⎪ ! # ⎪ Π " ( ) ! I = ⎨max WII −⎡S E − αS E + αS E ⎤,W EI,W ⎣ ⎦ ⎪ ⎪max( W II ,WEE ) ⎩ ! 0&!32!(2)/&! YF%! @&8(! 2@@242X(4&! C! 3A;B8)3)=4&7!.&3*+!3A&11)'2')(;!0&.!1)4/&.5! u82+0! '&! (28)/&! gt! 0).@242X(! 7! &(! 3A;B8)3)=4&! .&! .)(8&! .*)(! &+! 4;>)/&! kF%! .*)(! &+! 4;>)/&! YF%7! .&3*+! 3&.! +)9&28
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62+.!'&!'2.7! E !.8@@*4(&!38)!28..)!3&.!0&8832()*+!!"8'0#'!7"8!&(!3*4.B8&!3&.!*=3)>2()*+.!0&!<br />
.&49)'&! 8+)9&4.&3! 4&'*894&+(! 3A8=)B8)(;! &(! 32! +*+G0).'4)/)+2()*+! _rM6a7! 32!<br />
1*+'()*+!0&!@4*1)(!0&!32!1)4/&! I !&.(!0*++;&!@24!,!<br />
!<br />
( )<br />
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u82+0! '&! (28)/&! gt! 0).@242X(! 7! &(! 3A;B8)3)=4&! .&!<br />
.)(8&! .*)(! &+! 4;>)/&! kF%! .*)(! &+! 4;>)/&! YF%7! .&3*+! 3&.! +)9&28
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