论文标题
对寄生虫之前密度依赖性的寄主 - 寄生虫模型的比较分析
A Comparative Analysis of Host--Parasitoid Models with Density Dependence Preceding Parasitism
论文作者
论文摘要
我们提供了四个离散时间宿主 - 寄生虫模型的系统比较和分析。对于每个模型，我们指定密度依赖性效应发生在宿主生命周期中的寄生虫之前。我们比较了贝弗顿 - 荷尔特和瑞克图引起的密度依赖性生长函数，以及寄生函数，假设寄生虫发作的泊松或负二项式分布。我们表明，过度补偿的密度依赖性导致周期倍增的分叉，这可能是超临界或亚临界的。泊松分布的寄生虫更强会导致通过Neimark-Sacker分叉的共存平衡的稳定性丧失，从而导致种群周期。我们的分析结果还揭示了我们的一个模型之一的动力学，这些模型以前未被进行数值研究的作者未发现。最后，我们强调清楚地提出离散时间模型结构所固有的生物学假设的重要性，以促进沟通和更广泛的理解。
We present a systematic comparison and analysis of four discrete-time, host--parasitoid models. For each model, we specify that density-dependent effects occur prior to parasitism in the life cycle of the host. We compare density-dependent growth functions arising from the Beverton--Holt and Ricker maps, as well as parasitism functions assuming either a Poisson or negative binomial distribution for parasitoid attacks. We show that overcompensatory density-dependence leads to period-doubling bifurcations, which may be supercritical or subcritical. Stronger parasitism from the Poisson distribution leads to loss of stability of the coexistence equilibrium through a Neimark--Sacker bifurcation, resulting in population cycles. Our analytic results also revealed dynamics for one of our models that were previously undetected by authors who conducted a numerical investigation. Finally, we emphasize the importance of clearly presenting biological assumptions that are inherent to the structure of a discrete-time model in order to promote communication and broader understanding.
