TY - JOUR
T1 - The optimal dispersal strategy
T2 - A two-patchmodelwith travel loss
AU - Wu, Chang-Hong
PY - 2016/3
Y1 - 2016/3
N2 - The dispersal of organisms plays an important role in determining the dynamics of ecological models. Ecologically, it is of interest in understanding how dispersal strategy influences the distribution of populations. An ideal free distribution (IFD) of populations has been used to predict the distribution of organisms among patches, where a key assumption is to assume that species canmove freely between patches without paying any cost. If instead one assumes that there are losses when species moves from one patch to another, then ideal free distributions may not appear. In this note, we examine a two-patch resident-mutant model with travel loss and predict the optimal dispersal strategy for resident and mutant. Moreover, such strategy which produces a non-IFD is evolutionarily stable. Some same and different features of patch models with travel loss are discussed.
AB - The dispersal of organisms plays an important role in determining the dynamics of ecological models. Ecologically, it is of interest in understanding how dispersal strategy influences the distribution of populations. An ideal free distribution (IFD) of populations has been used to predict the distribution of organisms among patches, where a key assumption is to assume that species canmove freely between patches without paying any cost. If instead one assumes that there are losses when species moves from one patch to another, then ideal free distributions may not appear. In this note, we examine a two-patch resident-mutant model with travel loss and predict the optimal dispersal strategy for resident and mutant. Moreover, such strategy which produces a non-IFD is evolutionarily stable. Some same and different features of patch models with travel loss are discussed.
KW - Ideal free distribution
KW - Optimal dispersal strategy
KW - Patch model
KW - Travel loss
UR - http://www.scopus.com/inward/record.url?scp=84959879361&partnerID=8YFLogxK
U2 - 10.5556/j.tkjm.47.2016.1883
DO - 10.5556/j.tkjm.47.2016.1883
M3 - Article
AN - SCOPUS:84959879361
SN - 0049-2930
VL - 47
SP - 27
EP - 38
JO - Tamkang Journal of Mathematics
JF - Tamkang Journal of Mathematics
IS - 1
ER -