TY - JOUR
T1 - The influence of dispersal on a predator-prey system with two habitats
AU - Gramlich, P.
AU - Plitzko, S. J.
AU - Rudolf, L.
AU - Drossel, B.
AU - Gross, T.
PY - 2016/6/7
Y1 - 2016/6/7
N2 - Dispersal between different habitats influences the dynamics and stability of populations considerably. Furthermore, these effects depend on the local interactions of a population with other species. Here, we perform a general and comprehensive study of the simplest possible system that includes dispersal and local interactions, namely a 2-patch 2-species system. We evaluate the impact of dispersal on stability and on the occurrence of bifurcations, including pattern forming bifurcations that lead to spatial heterogeneity, in 19 different classes of models with the help of the generalized modelling approach. We find that dispersal often destabilizes equilibria, but it can stabilize them if it increases population losses. If dispersal is nonrandom, i.e. if emigration or immigration rates depend on population densities, the correlation of stability with dispersal rates is positive in part of the models. We also find that many systems show all four types of bifurcations and that antisynchronous oscillations occur mostly with nonrandom dispersal.
AB - Dispersal between different habitats influences the dynamics and stability of populations considerably. Furthermore, these effects depend on the local interactions of a population with other species. Here, we perform a general and comprehensive study of the simplest possible system that includes dispersal and local interactions, namely a 2-patch 2-species system. We evaluate the impact of dispersal on stability and on the occurrence of bifurcations, including pattern forming bifurcations that lead to spatial heterogeneity, in 19 different classes of models with the help of the generalized modelling approach. We find that dispersal often destabilizes equilibria, but it can stabilize them if it increases population losses. If dispersal is nonrandom, i.e. if emigration or immigration rates depend on population densities, the correlation of stability with dispersal rates is positive in part of the models. We also find that many systems show all four types of bifurcations and that antisynchronous oscillations occur mostly with nonrandom dispersal.
KW - Adaptive migration
KW - Bifurcations
KW - Generalized modelling
KW - Linear stability
KW - Metacommunities
UR - http://www.scopus.com/inward/record.url?scp=84962343559&partnerID=8YFLogxK
U2 - 10.1016/j.jtbi.2016.03.015
DO - 10.1016/j.jtbi.2016.03.015
M3 - Article (Academic Journal)
C2 - 27038668
AN - SCOPUS:84962343559
SN - 0022-5193
VL - 398
SP - 150
EP - 161
JO - Journal of Theoretical Biology
JF - Journal of Theoretical Biology
ER -