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The Effects of Harvesting on the Dynamics of a Leslie–Gower Model
Discrete Dynamics in Nature and Society ( IF 1.3 ) Pub Date : 2021-05-07 , DOI: 10.1155/2021/5520758
Jingli Xie 1 , Hanyan Liu 1 , Danfeng Luo 2
Affiliation  

In this paper, we study a Leslie–Gower predator-prey model with harvesting effects. We carry out local bifurcation analysis and stability analysis. Under certain conditions, the model is shown to undergo a supercritical Hopf bifurcation resulting in a stable limit cycle. Numerical simulations are presented to illustrate our theoretic results.

中文翻译:

收获对莱斯利·高尔模型动力学的影响

在本文中,我们研究了具有收获效应的莱斯利-高尔捕食者-猎物模型。我们进行局部分叉分析和稳定性分析。在某些条件下,该模型表现出超临界Hopf分叉,从而形成了稳定的极限环。数值模拟表明了我们的理论结果。
更新日期:2021-05-07
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