The Effects of Harvesting on the Dynamics of a Leslie–Gower Model

Jingli Xie, Hanyan Liu, Danfeng Luo and Rigoberto Medina

Discrete Dynamics in Nature and Society, 2021, vol. 2021, 1-11

Abstract: 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.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:5520758

DOI: 10.1155/2021/5520758

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