A note on a prey-predator model with constant-effort harvesting
Populations and Evolution
2022-10-03 v1 Dynamical Systems
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.
Cite
@article{arxiv.2202.04991,
title = {A note on a prey-predator model with constant-effort harvesting},
author = {Márcia Lemos-Silva and Delfim F. M. Torres},
journal= {arXiv preprint arXiv:2202.04991},
year = {2022}
}
Comments
This is a preprint whose final form is published by Springer Nature Switzerland AG in the book 'Dynamic Control and Optimization'. Submitted 30/Nov/2021; Accepted 10/Feb/2022