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.

中文翻译：

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关于离散周期性栖息地的种群模型。一、传播速度与最优传播策略

从离散和周期性栖息地中单个物种的年龄结构扩散种群增长规律出发，我们制定了具有空间周期性扩散、死亡率和补充的阶段结构种群模型。在 KPP 类型的设置下，在建立了具有空间周期性扩散的离散热方程的基本解后，我们应用一些最近发展的动力学系统理论来获得传播速度的存在性及其与脉动波的最小速度的重合，以及作为速度的变分表征，我们进一步分析了栖息地周期性如何影响速度。特别是有一个独特的最优分散策略来最大化速度。