Dynamics of a Two Prey and One Predator System with Indirect Effect

被引：2

作者：

Colucci, Renato ^{[1
]}

Diz-Pita, Erika ^{[2
]}

Otero-Espinar, M. Victoria ^{[2
]}

机构：

[1] Univ Politecn Marche, Dipartimento Ingn Ind & Sci Matemat, Via Brecce Bianche 1, I-60131 Ancona, Italy

[2] Univ Santiago de Compostela, Dept Estat Anal Matemat & Optimizac, Santiago De Compostela 15782, Spain

来源：

MATHEMATICS | 2021年 / 9卷 / 04期

关键词：

predator– prey; Hopf bifurcation; indirect effects of predation;

D O I：

10.3390/math9040436

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study a population model with two preys and one predator, considering a Holling type II functional response for the interaction between first prey and predator and taking into account indirect effect of predation. We perform the stability analysis of equilibria and study the possibility of Hopf bifurcation. We also include a detailed discussion on the problem of persistence. Several numerical simulations are provided in order to illustrate the theoretical results of the paper.

引用

页码：1 / 22

页数：22

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