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| DOI | 10.1016/J.NONRWA.2019.102974 | ||||
| Año | 2020 | ||||
| Tipo | artículo de investigación |
Citas Totales
Autores Afiliación Chile
Instituciones Chile
% Participación
Internacional
Autores
Afiliación Extranjera
Instituciones
Extranjeras
The aim of this paper is to analyze general dynamics features of a new Intraguild Predation (IGP) model where the top predator feeds only on the mesopredator and also affects its consumption rate. Important dynamical aspects of the model are described. Specifically, we prove that the trajectories of the associated system are bounded and defined for all positive time; there is a trapping domain; there are open subsets of parameters, such that the system in the first octant has at most five equilibrium solutions and at most three of them are of co-existence. Here we characterize the existence of Hopf bifurcations and we prove that this model exhibits either one, two or three small amplitude periodic solutions which arise from a zero-Hopf bifurcation. We prove the existence of alternative stable states. Finally, some numerical computations have been given in order to support our analytical results. The importance of some parameters of the model is discussed, in particular the role of the interference rate. The numerical exploration suggests that the equilibrium biomass of each of the three species grows as the level of interference grows. (C) 2019 Published by Elsevier Ltd.
| Ord. | Autor | Género | Institución - País |
|---|---|---|---|
| 1 | Falconi, Manuel | Hombre |
Univ Nacl Autonoma Mexico - México
Universidad Nacional Autónoma de México - México |
| 2 | Vera-Damian, Yrina | - |
Universidad Adolfo Ibáñez - Chile
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| 3 | VIDAL-DIAZ, CLAUDIO | Hombre |
Universidad del Bío Bío - Chile
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| Agradecimiento |
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| The authors would like to thank the referee for valuable comments, which improved an earlier version of this paper. This paper is part of Yrina Vera-Damian Ph.D. thesis in the Programa Doctorado en Ingenieria en Sistemas Complejos, Universidad Adolfo Ibaliez. The authors thank PAPIIT, Mexico IN116018 for the support. |