SIAM Journal on Applied Mathematics, Volume 80, Issue 6, Page 2338-2364, January 2020.
The ability of mixotrophs to combine phototrophy and phagotrophy is now well recognized and found to have important implications for ecosystem dynamics. In this paper, we examine the dynamical consequences of the invasion of mixotrophs in a system that is a limiting case of the chemostat. The model is a hybrid of a competition model describing the competition between autotroph and mixotroph populations for a limiting resource, and a predator--prey-type model describing the interaction between autotroph and herbivore populations. Our results show that mixotrophs are able to invade in both autotrophic environments and environments described by interactions between autotrophs and herbivores. The interaction between autotrophs and herbivores might be in equilibrium or cycle. We find that invading mixotrophs have the ability to both stabilize and destabilize autotroph-herbivore dynamics depending on the competitive ability of mixotrophs. The invasion of mixotrophs can also result in multiple attractors.

中文翻译：

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饱和混合营养环境中的不稳定，稳定和多个吸引子

SIAM应用数学杂志，第80卷，第6期，第2338-2364页，2020年1月。
混合营养菌将光养和吞噬营养相结合的能力现已得到广泛认可，并发现对生态系统动力学具有重要意义。在本文中，我们检查了混合营养菌入侵系统的动态后果，这是化学恒温器的极限情况。该模型是一个竞争模型的混合体，它描述了自养生物和混养生物种群之间对有限资源的竞争，而捕食者-猎物类型的模型描述了自养生物与食草动物种群之间的相互作用。我们的结果表明，混合营养菌能够在自养环境和自养生物与食草动物之间的相互作用所描述的环境中入侵。自养生物与食草动物之间的相互作用可能处于平衡或循环状态。我们发现，入侵的混合营养生物具有稳定和破坏自养植物-食草动物动力学的能力，这取决于混合营养生物的竞争能力。混合营养菌的入侵也可能导致多个吸引子。