Jang S R, Mitra A K
Department of Mathematics and Statistics, Texas Tech. University, Lubbock 79409-1042, USA.
Bull Math Biol. 2000 Jan;62(1):155-61. doi: 10.1006/bulm.1999.0145.
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.
我们研究了生活在环形或一系列栖息地中的单一离散世代物种的本地种群之间迁移的影响。常用的对称扩散假设被放宽，以纳入生物学上更合理的不对称扩散。分析表明，密度独立迁移对各个种群的平衡稳定性没有影响。然而，如果迁移是密度依赖的，即它随着源斑块中种群密度的增加而增加，那么正平衡可能会变得不稳定。
