Dynamics of a Two Prey and One Predator System with Indirect Effect
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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.
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Colucci, R.; Diz-Pita, É.; Otero-Espinar, M.V. Dynamics of a Two Prey and One Predator System with Indirect Effect. Mathematics 2021, 9, 436. https://doi.org/10.3390/ math9040436
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https://doi.org/10.3390/math9040436Sponsors
The first author has been partially supported by G.N.A.M.P.A.—INdAM (Italy) and MIUR (Italy). The second and third authors are partially supported by the Ministerio de Economía, Industria y Competitividad, Agencia Estatal de Investigación (Spain), grant MTM2016-79661-P (European FEDER support included, UE) and the Consellería de Educación, Universidade e Formación Profesional (Xunta de Galicia), grant ED431C 2019/10 with FEDER funds. The second author is also supported by the Ministerio de Educacion, Cultura y Deporte de España, contract FPU17/02125.
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© 2021 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license