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A plant-pollinator system: How learning versus cost-benefit can induce periodic oscillations
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作者 virgilio vazquez Ignacio Barradas 《International Journal of Biomathematics》 SCIE 2018年第2期189-215,共27页
In this paper, we propose a model describing the interaction between two species: a plant population that gets pollinated by an insect population. We assume the plant population is divided into two groups: the first... In this paper, we propose a model describing the interaction between two species: a plant population that gets pollinated by an insect population. We assume the plant population is divided into two groups: the first group in mutualistic relationship with the insect and the second group attracting the insects while deceiving them and not delivering any reward. In addition, we assume that the insect population reduces the number of visits to the plants after several unsuccessful visits. We are interested in the conditions for the coexistence of both species, especially in the appearance of damped or sustained oscillations. We focus the analysis on the parameters that measure the balance among deceit, the benefit that the insect gets from the plant, and the learning by the pollinators. We are especially interested in analyzing the effect of learning by the insect population due to unsuccessfully visiting the deceiving plants. 展开更多
关键词 Deceptive pollination MUTUALISM LEARNING oscillations Hopf bifurcation.
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