caa a22 4500 477067484 CHVBK 20180405111416.0 cr unu---uuuuu 170330e19960701xx s 000 0 eng 10.1007/BF02459477 doi (NATIONALLICENCE)springer-10.1007/BF02459477 Ruxton Graeme Division of Environmental and Evolutionary Biology, Institute of Biomedical and Life Sciences, University of Glasgow, G12 8QQ, Glasgow, UK aut Density-dependent migration and stability in a system of linked populations [Elektronische Daten] [Graeme Ruxton] The effect of adding density-dependent migration between nearest neighbour populations of a single discrete-generation species in a chain of habitat fragments is investigated. The larger the population on a particular habitat fragment, the greater the fraction of inhabitants who migrate before reproducing. It has previously been shown for similar models with density-independent migration that coupling populations in this way has no effect on the stability of these populations. Here, it is demonstrated that this effect is also generally true if migration is density-dependent. However, if the migration rate is large enough and has density dependence of the correct form, then the steady state (with all the populations remaining at the same constant value through time) can be destabilised. The conditions for this to occur are obtained analytically. When this "destabilisation” occurs, the system settles down to an alternative steady state where half of the populations take one constant value which is below that of an equivalent isolated system, and the other populations all share a population value which is greater than the steady state of the isolated populations. Once this configuration is reached, the population size on each patch remains constant over time. hence the change might more properly be described as a decrease in homogeneity rather than in stability. Society for Mathematical Biology, 1996 Bulletin of Mathematical Biology Kluwer Academic Publishers 58/4(1996-07-01), 643-660 0092-8240 58:4<643 1996 58 11538 https://doi.org/10.1007/BF02459477 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02459477 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Ruxton Graeme Division of Environmental and Evolutionary Biology, Institute of Biomedical and Life Sciences, University of Glasgow, G12 8QQ, Glasgow, UK aut NATIONALLICENCE 773 0- Bulletin of Mathematical Biology Kluwer Academic Publishers 58/4(1996-07-01), 643-660 0092-8240 58:4<643 1996 58 11538 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer