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

Márcia Lemos-Silva; Delfim F. M. Torres

doi:10.1007/978-3-031-17558-9_11

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arXiv · 2202.04991

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

Márcia Lemos-Silva·Delfim F. M. Torres

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Abstract

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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Márcia Lemos-Silva, Delfim F. M. Torres. 2022-02-10. A note on a prey-predator model with constant-effort harvesting. https://doi.org/10.1007/978-3-031-17558-9_11

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