A plant-pollinator system： How learning versus cost-benefit can induce periodic oscillations  

作　　者：Virgilio Vazquez Ignacio Barradas 

机构地区：[1]Instituto de Fisicay Matemdticas Universidad Tecnologica de la Mixteca Huajuapan de Leon, Oaxaca 69000, Mexico [2]Centro de Investigacion en Matemdticas Apartado Postal 302, Guanajuato Guanajuato 36000, Mexico

出　　处：《International Journal of Biomathematics》2018年第2期189-215,共27页生物数学学报（英文版）

摘　　要：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.

关 键 词：Deceptive pollination MUTUALISM LEARNING oscillations Hopf bifurcation. 

分 类 号：TP278[自动化与计算机技术—检测技术与自动化装置] O314[自动化与计算机技术—控制科学与工程]