title: Equilibrium stability of single-species metapopulations.
abstract: We investigate the effect of migration between local populations of a single discrete-generation species living in a ring or an array of habitats. The commonly used symmetric dispersal assumption is relaxed to include the biologically more reasonable asymmetric dispersion. It is demonstrated analytically that density independent migration has no effect on the equilibrium stability of individual populations. However, the positive equilibrium may be destabilizing if the migration is density dependent in such a way that it increases with increasing population density at the source patch.
authors.affiliation: Department of Mathematics and Statistics, Texas Tech. University, Lubbock 79409-1042, USA.
authors.forename: S R
authors.initials: SR
authors.lastname: Jang
authors.forename: A K
authors.initials: AK
authors.lastname: Mitra
mesh_terms: D000818:Animals; D004463:Ecology; D008954:Models, Biological; D011157:Population Dynamics