Kot Mark, Medlock Jan, Reluga Timothy, Walton D Brian
Department of Applied Mathematics, Box 352420, University of Washington, Seattle, WA 98195-2420, USA.
Theor Popul Biol. 2004 Nov;66(3):175-84. doi: 10.1016/j.tpb.2004.05.005.
We link deterministic integrodifference equations to stochastic, individual-based simulations by means of branching random walks. Using standard methods, we determine speeds of invasion for both average densities and furthest-forward individuals. For density-independent branching random walks, demographic stochasticity can produce extinction. Demographic stochasticity does not, however, reduce the overall asymptotic speed of invasion or preclude continually accelerating invasions.
我们通过分支随机游走将确定性积分差分方程与基于个体的随机模拟联系起来。使用标准方法，我们确定了平均密度和最前沿个体的入侵速度。对于与密度无关的分支随机游走，种群统计随机性会导致灭绝。然而，种群统计随机性并不会降低总体渐近入侵速度，也不会阻止入侵持续加速。
