Deceptive pollination and insects’ learning: a delicate balance

In this paper we propose and discuss a simple two-dimensional model describing the interaction between two species: a plant population that gets pollinated by an insect population. The plants attract the insects deceiving them and not delivering any reward. We are interested in analysing the effect...

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Main Authors: Virgilio Vázquez, Ignacio Barradas
Format: Article
Language:English
Published: Taylor & Francis Group 2017-01-01
Series:Journal of Biological Dynamics
Subjects:
Online Access:http://dx.doi.org/10.1080/17513758.2017.1337246
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spelling doaj-141ad7ea077a4ed58fb4ab5aa0efe66a2020-11-24T21:21:07ZengTaylor & Francis GroupJournal of Biological Dynamics1751-37581751-37662017-01-0111129932210.1080/17513758.2017.13372461337246Deceptive pollination and insects’ learning: a delicate balanceVirgilio Vázquez0Ignacio Barradas1Instituto de Física y Matemáticas, Universidad Tecnológica de la MixtecaCentro de Investigación en Matemáticas A.C.In this paper we propose and discuss a simple two-dimensional model describing the interaction between two species: a plant population that gets pollinated by an insect population. The plants attract the insects deceiving them and not delivering any reward. We are interested in analysing the effect of learning by the insect population due to unsuccessfully visiting the deceiving plants. We are especially interested in three elements: conditions for the simultaneous coexistence of both species, their extinction as a function of the biological cost of the deceptiveness for the pollinator, and the appearance of oscillations in the dynamics. We also look for conditions under which plants would be better off by switching to different strategies, in particular, we look for conditions for the existence and stability of the equilibria of the corresponding differential equations system, and the conditions for the existence of periodic solutions.http://dx.doi.org/10.1080/17513758.2017.1337246Periodic oscillationdeceptive pollinationlearningcoexistenceintraspecific communication
collection DOAJ
language English
format Article
sources DOAJ
author Virgilio Vázquez
Ignacio Barradas
spellingShingle Virgilio Vázquez
Ignacio Barradas
Deceptive pollination and insects’ learning: a delicate balance
Journal of Biological Dynamics
Periodic oscillation
deceptive pollination
learning
coexistence
intraspecific communication
author_facet Virgilio Vázquez
Ignacio Barradas
author_sort Virgilio Vázquez
title Deceptive pollination and insects’ learning: a delicate balance
title_short Deceptive pollination and insects’ learning: a delicate balance
title_full Deceptive pollination and insects’ learning: a delicate balance
title_fullStr Deceptive pollination and insects’ learning: a delicate balance
title_full_unstemmed Deceptive pollination and insects’ learning: a delicate balance
title_sort deceptive pollination and insects’ learning: a delicate balance
publisher Taylor & Francis Group
series Journal of Biological Dynamics
issn 1751-3758
1751-3766
publishDate 2017-01-01
description In this paper we propose and discuss a simple two-dimensional model describing the interaction between two species: a plant population that gets pollinated by an insect population. The plants attract the insects deceiving them and not delivering any reward. We are interested in analysing the effect of learning by the insect population due to unsuccessfully visiting the deceiving plants. We are especially interested in three elements: conditions for the simultaneous coexistence of both species, their extinction as a function of the biological cost of the deceptiveness for the pollinator, and the appearance of oscillations in the dynamics. We also look for conditions under which plants would be better off by switching to different strategies, in particular, we look for conditions for the existence and stability of the equilibria of the corresponding differential equations system, and the conditions for the existence of periodic solutions.
topic Periodic oscillation
deceptive pollination
learning
coexistence
intraspecific communication
url http://dx.doi.org/10.1080/17513758.2017.1337246
work_keys_str_mv AT virgiliovazquez deceptivepollinationandinsectslearningadelicatebalance
AT ignaciobarradas deceptivepollinationandinsectslearningadelicatebalance
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