Klepac Petra, Neubert Michael G, van den Driessche P
Biology Department, MS #34, Woods Hole Oceanographic Institution, Woods Hole, MA 02543-1049, USA.
Theor Popul Biol. 2007 Jun;71(4):436-44. doi: 10.1016/j.tpb.2007.02.002. Epub 2007 Mar 6.
It takes time for individuals to move from place to place. This travel time can be incorporated into metapopulation models via a delay in the interpatch migration term. Such a term has been shown to stabilize the positive equilibrium of the classical Lotka-Volterra predator-prey system with one species (either the predator or the prey) dispersing. We study a more realistic, Rosenzweig-MacArthur, model that includes a carrying capacity for the prey, and saturating functional response for the predator. We show that dispersal delays can stabilize the predator-prey equilibrium point despite the presence of a Type II functional response that is known to be destabilizing. We also show that dispersal delays reduce the amplitude of oscillations when the equilibrium is unstable, and therefore may help resolve the paradox of enrichment.
个体从一个地方移动到另一个地方需要时间。这个迁移时间可以通过斑块间迁移项中的延迟纳入集合种群模型。这样一个项已被证明能使具有一个扩散物种（捕食者或猎物）的经典Lotka-Volterra捕食者-猎物系统的正平衡点稳定下来。我们研究了一个更现实的Rosenzweig-MacArthur模型，该模型包括猎物的环境容纳量和捕食者的饱和功能反应。我们表明，尽管存在已知会破坏稳定性的II型功能反应，但扩散延迟仍可使捕食者-猎物平衡点稳定。我们还表明，当平衡点不稳定时，扩散延迟会减小振荡幅度，因此可能有助于解决富集悖论。
