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Miley Cyrus
vs.
Darth Vader
Group 6:Cristiane MillanIago OrnellasJoyce SantosLuciano eres!hiago "ahn
#illian Silva
III Southern$Su%%er School on Mathe%atical &iology
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I'!(OD)C!IO'
Manipulative parasites: parasite inducing phenotypicchanges in their hosts that increase the pro*a*ility o+ their
trans%ission +ro% one host to another.
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I'!(OD)C!IO'
Manipulative parasites: parasite inducing phenotypicchanges in their hosts that increase the pro*a*ility o+ their
trans%ission +ro% one host to another.
,ost: Cephalotes atratus (Darth Vader ant)arasite: Myrmeconema neotropicum
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I'!(OD)C!IO'
Manipulative parasites: parasite inducing phenotypicchanges in their hosts that increase the pro*a*ility o+ their
trans%ission +ro% one host to another.
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I'!(OD)C!IO'
-eces o+*irds ith
parasiteeggs
arasitedevelop%ent
Food
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/)0S!IO'S
1. #hat initial in+ection rate can pro%ote the esta*lish%ent o+the parasite in the colony2
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/)0S!IO'S
1. #hat initial in+ection rate can pro%ote the esta*lish%ent o+the parasite in the colony2
3. #hat predation rate can %aintain the parasite in thecolony2
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/)0S!IO'S
1. #hat initial in+ection rate can pro%ote the esta*lish%ent o+the parasite in the colony2
3. #hat predation rate can %aintain the parasite in thecolony2
4. #hat in+ection rate %a5es the colony collapse2
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(
Li
!,0O(0!ICL D0SIG'
Ls
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(
LiLs
78(
9LsLi;
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(
LiLs
78(
=8Li9LsLi;
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(
LiLs
78(
=8Li
>8(
9LsLi;
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(
LiLs
78(
=8Li
>8(
?
9LsLi;
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(
LiLs
78(
=8Li
>8(
?
r8Ls
9LsLi;
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M!,0M!ICL MOD0LS
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M!,0M!ICL MOD0LS
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M!,0M!ICL MOD0LS
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(0S)L!S
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Control Si%ulations
Ls @ 1A Li @ A ( @ A B @ 1AAA
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Control Si%ulations
Ls @ A Li @ AA ( @ A B @ 1AAA
C t l Si l ti
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Control Si%ulations
Ls @ A Li @ A ( @ AA B @ 1AAA
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#hat initial in+ection rate can pro%ote the esta*lish%ent o+ theparasite in the colony2
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? @ A.A1 @ A.3E= @ A.A3
7: A.A3B @ 1AAAr @ A.11
Ls @ 1AAALi @ F( @ A
sim#: 243
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? @ A.A1 @ A.3E= @ A.A3
7: A.A3B @ 1AAAr @ A.11
Ls @ 1AAALi @ FE( @ A
sim#: 244
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? @ A.A1 @ A.3E= @ A.A3
7: A.A3B @ 1AAAr @ A.11
Ls @ 1AAALi @ FE( @ A
sim#: 244
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? @ A.A1 @ A.3E= @ A.A3
7: A.A3B @ 1AAAr @ A.11
Ls @ 1AAALi @ AA( @ A
sim#: 256
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? @ A.A1 @ A.3E= @ A.A3
7: A.A3B @ 1AAAr @ A.11
Ls @ 311Li @ 36A( @ 31
sim#: 257
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? @ A.A1 @ A.4E= @ A.A3
7: A.A3B @ 1AAAr @ A.11
Ls @ 1AAALi @ FE( @ A
sim#': 271
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? @ A.A1 @ A.F= @ A.A3
7: A.A3B @ 1AAAr @ A.11
Ls @ 1AAALi @ FE( @ A
sim#: 274
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#hat predation rate can %aintain the parasite in the colony2
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? @ A.A1 @ A.4= @ A.A3
7: A.A3B @ 1AAAr @ A.11
Ls @ 1AAALi @ FA( @ A
sim#: 267
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sim#: 268
? @ A.A1 @ A.4E= @ A.A3
7: A.A3B @ 1AAAr @ A.11
Ls @ 1AAALi @ FA( @ A
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? @ A.A1 @ A.4F= @ A.A3
7: A.A3B @ 1AAAr @ A.11
Ls @ 1AAALi @ FA( @ A
sim#: 269
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? @ A.A1 @ A.4F= @ A.A3
7: A.A3B @ 1AAAr @ A.11
Ls @ 1AAALi @ FA( @ A
sim#: 269
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? @ A.A1 @ A.A= @ A.A3
7: A.A3B @ 1AAAr @ A.11
Ls @ 1AAALi @ 4AA( @ A
sim#: 281
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#hat in+ection rate %a5es the colony collapse2
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? @ A.A1 @ A.4F= @ A.A3
7: A.A3B @ 1AAAr @ A.11
Ls @ 1AAALi @ FE( @ A
sim#: 378
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? @ A.A @ A.4F= @ A.A3
7: A.A3B @ 1AAAr @ A.11
Ls @ 1AAALi @ FE( @ A
sim#: 386
CO'CL)SIO'S
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redation o+ in+ected ants and in+ectivity o+ the parasite see%to play an i%portant role in the sta*iliHation o+ the population
dyna%ics o+ host and parasite.
CO'CL)SIO'S
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redation o+ in+ected ants and in+ectivity o+ the parasite see%to play an i%portant role in the sta*iliHation o+ the populationdyna%ics o+ host and parasite.
Manipulative parasites can drive host population siHes donto levels considera*ly *elo the carrying capacity o+ the hostpopulation and possi*ly to etinction.
CO'CL)SIO'S
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redation o+ in+ected ants and in+ectivity o+ the parasite see%to play an i%portant role in the sta*iliHation o+ the populationdyna%ics o+ host and parasite.
Manipulative parasites can drive host population siHes donto levels considera*ly *elo the carrying capacity o+ the hostpopulation and possi*ly to etinction.
Depending on the population para%eters the initial in+ectionrate is essential +or the esta*lish%ent o+ the parasitepopulation in the colony 9coeistence;.
CO'CL)SIO'S
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redation o+ in+ected ants and in+ectivity o+ the parasite see%to play an i%portant role in the sta*iliHation o+ the populationdyna%ics o+ host and parasite.
Manipulative parasites can drive host population siHes donto levels considera*ly *elo the carrying capacity o+ the hostpopulation and possi*ly to etinction.
Depending on the population para%eters the initial in+ectionrate is essential +or the esta*lish%ent o+ the parasitepopulation in the colony 9coeistence;.
LIMI!!IO'S
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(esistance.
Single colony.
Dependence o+ alpha on (. K ? 18(;
'o spatial structure o+ populations.
'o *asal in+ection rate.
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!han5 you
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