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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Online Access: | http://dx.doi.org/10.1080/17513758.2017.1337246 |
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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 |
_version_ |
1726000919732027392 |