论文标题
在离散定期栖息地中的人群模型上。 I.扩散速度和最佳分散策略
On a population model in discrete periodic habitat. I. spreading speed and optimal dispersal strategy
论文作者
论文摘要
从离散和周期性栖息地中单个物种的年龄结构化扩散人群增长法开始，我们制定了一个具有空间周期性分散，死亡率和招募的阶段结构化模型。使用KPP类型设置，在建立了具有空间周期性分散的离散热方程的基本解决方案之后，我们应用了一些最近开发的动力学系统理论，以获得扩散速度的存在及其与脉动波的最小速度的巧合，以及速度的最小速度，以及我们通过这种速度的变化表征，我们进一步分析了生态的速度差异。特别是，有一种独特的最佳分散策略来最大化速度。
Starting from an age-structured diffusive population growth law for single species in a discrete and periodic habitat, we formulate a stage structured population model with spatially periodic dispersal, mortality and recruitment. With a KPP type setting, after establishing the fundamental solution of a discretized heat equation with spatially periodic dispersal, we apply some recently developed dynamical system theories to obtain the existence of the spreading speed and its coincidence with the minimal speed of pulsating waves, as well as the variational characterization of the speed, by which we further analyze how the habitat periodicity influences the speed. In particular, there is a unique optimal dispersal strategy to maximize the speed.
