A note on stability criteria in the periodic Lotka-Volterra predator-prey model

被引：2
|
作者：
Ortega, Victor [1 ,2 ]
Rebelo, Carlota [2 ]
机构：
[1] Univ Granada, Fac Ciencias, Dept Matemat Aplicada, Ave Fuente Nueva S-N, Granada 18071, Spain
[2] Univ Lisbon, Fac Ciencias, Ctr Matemat Computac & Estocast, Dept Matemat, Edificio C6,Piso 2, P-1749016 Lisbon, Portugal
来源：
APPLIED MATHEMATICS LETTERS | 2023年 / 145卷
关键词：
Population dynamics; Lyapunov stability criterion; Periodic planar systems; Periodic predator-prey model;
D O I：
10.1016/j.aml.2023.108739
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We present a stability result for T-periodic solutions of the periodic predator-prey Lotka-Volterra model. In 2021, R. Ortega gave a stability criteria in terms of the L1 norm of the coefficients of a planar linear system associated to the model. Previously, in 1994, Z. Amine and R. Ortega proved another stability criteria formulated in terms of the L & INFIN; norm. The present work gives a Lp criterion, building a bridge between the two previous results.(C) 2023 The Author(s). Published by Elsevier Ltd. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).
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页数：8
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