论文标题
对猎物中具有效果的修改的可能淋巴结式捕食者捕食者模型建模和分析，捕食者的替代食品来源
Modelling and analysis of a modified May-Holling-Tanner predator-prey model with Allee effect in the prey and an alternative food source for the predator
论文作者
论文摘要
在本研究中，我们修改了传统的五个曼卫式捕食者捕食者捕食模型，用于通过对野外虫种群的质量效应（强度和弱）来代表最小黄鼠豆和野外虫之间的相互作用，以及对小鼬鼠种群的替代食品来源。结果表明，动态与原始的可能淋利 - 棉制捕食者捕食者相互作用不同，因为新的平衡点出现在第一个象限中。此外，修改模型允许在包括对猎物的Allee效应（强和弱）时灭绝这两种物种，而捕食者的替代食品来源包括该系统可以同时支持种群的灭绝，猎物和共存的灭绝以及种群的振荡。此外，我们使用数值模拟来说明改变捕食率和捕食者固有生长速率对稳定平衡点吸引盆或稳定极限周期的影响。这些模拟显示了捕食者和猎物种群的稳定和/或随着时间的流逝，这两个物种的振荡。
In the present study, we have modified the traditional May-Holling-Tanner predator-prey model used to represent the interaction between least weasel and field-vole population by adding an Allee effect (strong and weak) on the field-vole population and alternative food source for the weasel population. It is shown that the dynamic is different from the original May-Holling-Tanner predator-prey interaction since new equilibrium points have appeared in the first quadrant. Moreover, the modified model allows the extinction of both species when the Allee effect (strong and weak) on the prey is included, while the inclusion of the alternative food source for the predator shows that the system can support the coexistence of the populations, extinction of the prey and coexistence and oscillation of the populations at the same time. Furthermore, we use numerical simulations to illustrate the impact that changing the predation rate and the predator intrinsic growth rate have on the basin of attraction of the stable equilibrium point or stable limit cycle in the first quadrant. These simulations show the stabilisation of predator and prey populations and/or the oscillation of these two species over time.
