Collings J B
Mathematics Department, University of North Dakota, Grand Forks, 58202-8376.
Bull Math Biol. 1995 Jan;57(1):63-76. doi: 10.1007/BF02458316.
The non-linear behavior of a differential equations-based predator-prey model, incorporating a spatial refuge protecting a constant proportion of prey and wit temperature-dependent parameters chosen appropriately for a mite interaction on fruit trees, is examined using the numerical bifurcation code AUTO 86. The most significant result of this analysis is the existence of a temperature interval in which increasing the amount of refuge dynamically destabilizes the system; and on part of this interval the interaction is less likely to persist in that predator and prey minimum population densities are lower than when no refuge is available. It is also shown that increasing the amount of refuge can lead to population outbreaks due to the presence of multiple stable states. The ecological implications of a refuge are discussed with respect to the biological control of mite pests.
使用数值分岔代码AUTO 86研究了一种基于微分方程的捕食者 - 猎物模型的非线性行为，该模型纳入了一个保护恒定比例猎物的空间避难所，并且为果树上的螨类相互作用适当选择了温度依赖参数。该分析的最重要结果是存在一个温度区间，在这个区间内增加避难所数量会动态地使系统不稳定；并且在这个区间的一部分，由于捕食者和猎物的最小种群密度低于没有避难所时的密度，相互作用持续存在的可能性较小。研究还表明，由于存在多个稳定状态，增加避难所数量可能导致种群爆发。针对螨类害虫的生物防治，讨论了避难所的生态意义。
