论文标题

关于恒定富裕收获的猎物预言模型的注释

A note on a prey-predator model with constant-effort harvesting

论文作者

Lemos-Silva, Márcia, Torres, Delfim F. M.

论文摘要

我们研究了一个基于经典的Lotka-Volterra系统的猎物预言模型,该模型具有Leslie-Gower和Holling IV方案,并进行了恒定的收获。我们的目标是双重的:介绍了Cheng和Zhang在2021年提出的模型,指出了一些不一致之处;分析模型的平衡点的数量和类型。根据特征值的分布,我们最终证明了有意义的平衡点的稳定性。

We study a prey-predator model based on the classical Lotka-Volterra system with Leslie-Gower and Holling IV schemes and a constant-effort harvesting. Our goal is twofold: to present the model proposed by Cheng and Zhang in 2021, pointing out some inconsistencies; to analyse the number and type of equilibrium points of the model. We end by proving the stability of the meaningful equilibrium point, according to the distribution of the eigenvalues.

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