THE COUPLED LOGISTIC MAP - A SIMPLE-MODEL FOR THE EFFECTS OF SPATIAL HETEROGENEITY ON POPULATION-DYNAMICS
THE COUPLED LOGISTIC MAP - A SIMPLE-MODEL FOR THE EFFECTS OF SPATIAL HETEROGENEITY ON POPULATION-DYNAMICS
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DOI：
10.1006/jtbi.1995.0058
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发表时间：
1995-04-07
影响因子：
2
通讯作者：
LLOYD, AL
中科院分区：
文献类型：
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作者：
LLOYD, AL
利用一个由两个扩散耦合的逻辑斯蒂映射组成的简单模型，研究了空间异质性对种群动态的影响。使用数值方法检查模型的动态行为，观察到广泛的行为。结果表明，耦合可以稳定个别混沌种群，并在不同的情况下，耦合可以导致个别稳定的周期性种群进行更复杂的行为。当系统的定性动力学依赖于初始条件时，系统表现出多个吸引子。吸引子结构的突然变化可以在参数的微小变化中看到;这些变化被称为危机。观察到瞬态和间歇性行为。所有这些行为对人口的影响进行了讨论。一个线性耦合的两个地图也被认为是导致违反直觉的行为，通过耦合两个稳定的地图与混沌动力学。这种行为的发生是因为耦合涉及世代混合，因此在生物学上是不现实的。
A simple model consisting of two diffusively coupled logistic maps is used to examine thf: effects of spatial heterogeneity on population dynamics. Examining the dynamic behaviour of the model using numerical methods, a wide range of behaviours are observed. It is shown that the coupling can stabilize individually chaotic populations, and that under different circumstances the coupling can cause individually stable periodic populations to undergo more complex behaviour. The system exhibits multiple attractors when the qualitative dynamics of the system depend on the initial conditions. Sudden changes in the structure of the attractors are seen for small changes in the parameters; these changes are known as crises. Transient and intermittent behaviours are observed. The implications of all these behaviours for populations are discussed. A linear coupling of the two maps is also considered which leads to counterintuitive behaviour, with chaotic dynamics being obtained by coupling two stable maps. This behaviour occurs because the coupling involves mixing of generations, and is therefore biologically unrealistic.