具有可持续收获的全延迟Logistic种群模型

Martin Anokye, E. Donkoh, M. Ofori, Agnes Adom-Konadu
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引用次数: 1

摘要

研究了含比例收获函数的完全延迟-logistic种群模型的动力学问题。研究讨论了该模型的稳定性,并与著名的带收获函数的Hutchinson logistic增长方程进行了比较,使用收获率作为分岔参数来确定即使在较大的时滞τ = 3.00下的可持续收获率。在所有的情况下,使用一个额外的和不同的时间延迟参数,带收获的Hutchinson方程被迫收敛到平衡状态,这是以前的研究人员在使用Hutchinson模型时未能解决的一个缺陷。与著名的Hutchinson延迟逻辑模型相比,该模型极大地减少了与时滞相关的振荡,从而使估计的最大可持续增长和收获反映了现实。利用MatLab软件进行了数值模拟。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Full Delay Logistic Population Model with Sustainable Harvesting
The paper studies the dynamics of a full delay-logistic population model incorporated with a proportionate harvesting function. The study discusses the stability of the model in comparison with the well-known Hutchinson logistic growth equation with harvesting function using the rate of harvesting as a bifurcation parameter to determine sustainable harvesting rate even at a bigger time delay of τ = 3.00 . In all cases, the Hutchinson equation with harvesting was forced to converge to equilibrium using an additional and a different time delay parameter, a deficiency previous researchers have failed to address when the Hutchinson model is used for this purpose. The population fluctuations are catered for with this model making the estimated maximum sustainable growth and harvest reflect realities as this model drastically reduces time-delay associated oscillations compared to the well-known Hutchinson delayed logistic models. The numerical simulations were be done using the MatLab Software.
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