论文标题
具有广义Holling类型功能响应和相互干扰的捕食者捕集模型的动力学
Dynamics of a predator-prey model with generalized Holling type functional response and mutual interference
论文作者
论文摘要
相互干扰和猎物庇护所是捕食者 - 纯化动力学的重要驱动因素。在理论生态学中，“指数”或相互干扰的程度一直在许多争论中。在目前的工作中，我们研究了相互干扰指数的相互作用，该相互作用是针对具有广义的霍林型功能响应的捕食者 - 纯模型的行为。我们研究了系统的稳定性特性，并得出了鞍形节点和HopF-Bifcurcations的发生条件。该模型也得出了足够的灭绝猎物物种的条件。此外，我们研究了猎物庇护所对模型种群动态的影响，并为猎物避难所提供了条件，这将产生人口的持久性。我们通过数值模拟提供了分析结果的其他验证。我们的发现与高斯G. F. F. F（1934）的经典实验结果一致，这表明捕食者和猎物种群的灭绝是可能在有限的时间段内的 - 但是引进避难所可以有效地导致持久性。
Mutual interference and prey refuge are important drivers of predator-prey dynamics. The "exponent" or degree of mutual interference has been under much debate in theoretical ecology. In the present work, we investigate the interplay of the mutual interference exponent, on the behavior of a predator-prey model with a generalized Holling type functional response. We investigate stability properties of the system and derive conditions for the occurrence of saddle-node and Hopf-bifurcations. A sufficient condition for extinction of the prey species has also been derived for the model. In addition, we investigate the effect of a prey refuge on the population dynamics of the model and derive conditions for the prey refuge that would yield persistence of populations. We provide additional verification our analytical results via numerical simulations. Our findings are in accordance with classical experimental results in ecology by Gauss G. F (1934), that show that extinction of predator and prey populations is possible in a finite time period - but that bringing in refuge can effectively cause persistence.
