Persistence of pollination mutualisms in plant-pollinator-robber systems |
| |
Authors: | Wang Yuanshi Wu Hong Sun Shan |
| |
Institution: | a School of Mathematics and Computational Science, Sun Yat-sen University, Guangzhou 510275, PR Chinab Institution of Ecology, School of Life Science, Lanzhou University, Lanzhou 730000, PR China |
| |
Abstract: | Interactions between pollinators, nectar robbers, defensive plants and non-defensive plants are characterized by evolutionary games, where payoffs for the four species are represented by population densities at steady states in the corresponding dynamical systems. The plant-robber system is described by a predator-prey model with the Holling II functional response, while the plant-pollinator system is described by a cooperative model with the Beddington-DeAngelis functional response. By combining dynamics of the models with properties of the evolutionary games, we show mechanisms by which pollination mutualisms could persist in the presence of nectar robbers. The analysis leads to an explanation for persistence of plant-pollinator-robber systems in real situations. |
| |
Keywords: | Stability Periodic oscillation Evolutionary game Replicator equation Nash equilibrium |
本文献已被 ScienceDirect PubMed 等数据库收录! |
|