TY - JOUR

T1 - The optimal dispersal strategy

T2 - A two-patchmodelwith travel loss

AU - Wu, Chang-Hong

PY - 2016/3/1

Y1 - 2016/3/1

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

VL - 47

SP - 27

EP - 38

JO - Tamkang Journal of Mathematics

JF - Tamkang Journal of Mathematics

SN - 0049-2930

IS - 1

ER -