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

Jingli Xie | Zendy; Hanyan Liu | Zendy; Danfeng Luo | Zendy

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

Author(s) -

Jingli Xie,

Hanyan Liu,

Danfeng Luo

Publication year - 2021

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/2021/5520758

Subject(s) - hopf bifurcation , limit cycle , mathematics , bifurcation , limit (mathematics) , stability (learning theory) , dynamics (music) , supercritical fluid , statistical physics , control theory (sociology) , computer science , mathematical analysis , physics , nonlinear system , thermodynamics , control (management) , quantum mechanics , machine learning , artificial intelligence , acoustics

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.

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