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

Autor:	Lemos-Silva, Márcia, Torres, Delfim F. M.
Rok vydání:	2022
Předmět:	Quantitative Biology - Populations and Evolution Mathematics - Dynamical Systems 34C60 34D20 92D25
Druh dokumentu:	Working Paper
DOI:	10.1007/978-3-031-17558-9_11
Popis:	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. Comment: 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
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2202.04991 Zobrazit plný text záznamu View this record from Arxiv