DISPERSION POPULATION-MODELS DISCRETE IN TIME AND CONTINUOUS IN SPACE
DISPERSION POPULATION-MODELS DISCRETE IN TIME AND CONTINUOUS IN SPACE
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DOI：
10.1007/bf00171515
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发表时间：
1990-01-01
影响因子：
1.9
通讯作者：
WEBB, GF
中科院分区：
文献类型：
--
作者：
HARDIN, DP;TAKAC, P;WEBB, GF
我们分析了在不同阶段生长和分散的种群的离散时间模型。生长阶段是一个非线性过程，考虑到局部拥挤的影响。分散阶段是种群在其空间栖息地分布的线性过程。我们的研究量化了生存和灭绝问题，非平凡稳态的存在和稳定性问题，以及各种分散策略的比较。我们的结果表明，所有这些问题都与各种模型参数的全局性质有关。在不同的情况下，用数值方法比较了原地不动和到处移动的极端策略与扩散策略。我们从泛函分析和算子理论的角度对我们的模型进行数学分析。我们利用Banach格中正算子理论的最新成果。
We analyze a discrete-time model of populations that grow and disperse in separate phases. The growth phase is a nonlinear process that allows for the effects of local crowding. The dispersion phase is a linear process that distributes the population throughout its spatial habitat. Our study quantifies the issues of survival and extinction, the existence and stability of nontrivial steady states, and the comparison of various dispersion strategies. Our results show that all of these issues are tied to the global nature of various model parameters. The extreme strategies of staying-in-place and going-everywhere-uniformly are compared numerically to diffusion strategies in various contexts. We approach the mathematical analysis of our model from a functional analysis and an operator theory point of view. We use recent results from the theory of positive operators in Banach lattices.