Departamento de Matemática Aplicada, E.T.S.I. Industriales, Universidad Nacional de Educación a Distancia (UNED), c/ Juan del Rosal 12, Madrid 28040, Spain.
Departamento de Matemática Aplicada, E.T.S.I. Industriales, Universidad Nacional de Educación a Distancia (UNED), c/ Juan del Rosal 12, Madrid 28040, Spain.
Math Biosci. 2018 Dec;306:180-185. doi: 10.1016/j.mbs.2018.10.002. Epub 2018 Oct 4.
The moment of intervention is a key question in harvest programmes and is currently generating an increasing interest. However, little is known about its effect on the population stability. This lack of knowledge is greater in the case of global stability, which is always desirable as it allows to predict the fate of populations regardless of the initial size. Here we use a discrete-time equation to model the dynamics of populations harvested at any time during the reproductive season. We study the effect of the time of intervention on the global stability of populations governed by the Ricker model, which is one of the most relevant models in discrete-time population dynamics. We prove that harvest timing never has a negative effect on the global stability of these populations, extending recent results in the literature. We also study the effect of delayed harvesting on the constancy stability of the controlled populations.
干预时机是收获计划中的一个关键问题，目前正引起越来越多的关注。然而，人们对其对种群稳定性的影响知之甚少。在全球稳定性的情况下，这种知识的缺乏更为严重，因为它允许预测种群的命运，而不受初始大小的影响。在这里，我们使用离散时间方程来模拟在繁殖季节的任何时间收获的种群的动态。我们研究了干预时间对由 Ricker 模型控制的种群的全球稳定性的影响，Ricker 模型是离散时间种群动力学中最相关的模型之一。我们证明，收获时机对这些种群的全球稳定性从来没有负面影响，这扩展了文献中的最新结果。我们还研究了延迟收获对受控种群恒定性稳定性的影响。
