A note on a prey-predator model with constant-effort harvesting
arXiv:2202.04991 · doi:10.1007/978-3-031-17558-9_11
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.
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