A COMPARISON OF DISPERSAL STRATEGIES FOR SURVIVAL OF SPATIALLY HETEROGENEOUS POPULATIONS
A COMPARISON OF DISPERSAL STRATEGIES FOR SURVIVAL OF SPATIALLY HETEROGENEOUS POPULATIONS
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DOI：
10.1137/0148086
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发表时间：
1988-12-01
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
本文分析了一个离散时间种群模型，种群在不同的阶段增长和扩散。生长阶段是一个非线性过程，考虑到局部拥挤的影响。扩散阶段是一个线性过程，将种群分布在其整个空间栖息地。本研究量化了生存与灭绝、非平凡定态的存在性与稳定性，以及各种分散策略的比较。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，在数值上比较了呆在原地和到处去的极端策略与扩散策略。我们的模型的数学分析接近从功能分析和运营商理论的观点。最近的结果从理论上的正算子在Banach格。
This paper analyzes 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. This study quantifies the issues of survival and extinction, the existence and stability of nontrivial steady states, and the comparison of various dispersion strategies. The 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. The mathematical analysis of our model is approached from a functional analysis and an operator theory point of view. Recent results from the theory of positive operators in Banach lattices are used.