Dynamics of a two prey and one predator system with indirect effect
Colucci, Renato (Università Politecnica delle Marche. Dipartimento di Ingegneria Industriale e Scienze Matematiche (Italy))
Diz-Pita, Érika (Universidade de Santiago de Compostela. Departamento de Estatística, Análise Matemática e Optimización)
Otero-Espinar, M. Victoria (Universidade de Santiago de Compostela. Departamento de Estatística, Análise Matemática e Optimización)

Date:	2021
Abstract:	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.
Grants:	Ministerio de Economía y Competitividad MTM2016-79661-P Ministerio de Educación, Cultura y Deporte FPU17/02125
Note:	Altres ajuts: Consellería de Educación, Universidade e Formación Profesional (Xunta de Galicia), grant ED431C 2019/10
Rights:	Aquest document està subjecte a una llicència d'ús Creative Commons. Es permet la reproducció total o parcial, la distribució, la comunicació pública de l'obra i la creació d'obres derivades, fins i tot amb finalitats comercials, sempre i quan es reconegui l'autoria de l'obra original.
Language:	Anglès
Document:	Article ; recerca ; Versió publicada
Subject:	Predator-prey ; Hopf bifurcation ; Indirect effects of predation
Published in:	Mathematics, Vol. 9, Issue 4 (February 2021) , art. 436, ISSN 2227-7390

DOI: 10.3390/math9040436

22 p, 661.1 KB

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Research literature > UAB research groups literature > Research Centres and Groups (research output) > Experimental sciences > GSD (Dynamical systems)
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