Dynamics of hierarchical models in discrete-time
Dynamics of hierarchical models in discrete-time
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DOI：
10.1080/10236190512331328343
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发表时间：
2005-02
影响因子：
1.1
通讯作者：
Sophia R.-J. Jang;J. Cushing
中科院分区：
文献类型：
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作者：
Sophia R.-J. Jang;J. Cushing
我们推导和分析了一类一般的差分方程模型的动态层次组织的人口。不同形式的种内竞争引起不同类型的非线性。对于我们的模型，我们证明了竞赛竞争的结果仅在平衡动态中渐进。另一方面，争夺竞争可能导致更复杂的渐近动力学。我们研究的情况下，当限制资源是一个常数，当它是动态建模。我们证明，在所有情况下，如果人口的固有净生殖数大于1，人口持续存在。
We derive and analyze a general class of difference equation models for the dynamics of hierarchically organized populations. Different forms of intra-specific competition give rise to different types of nonlinearities. For our models, we prove that contest competition results asymptotically in only equilibrium dynamics. Scramble competition, on the other hand, can result in more complex asymptotic dynamics. We study both the case when the limiting resource is a constant and when it is dynamically modeled. We prove, in all cases, that the population persists if the inherent net reproductive number of the population is greater than one.