INRA-INRIA MERE project-team, UMR ASB, INRA, 2 Place Viala, 34060 Montpelier, Cedex, France.
J Biol Dyn. 2009 Nov;3(6):635-47. doi: 10.1080/17513750902915978.
In this paper, we consider a simple chemostat model involving two obligate mutualistic species feeding on a limiting substrate. Systems of differential equations are proposed as models of this association. A detailed qualitative analysis is carried out. We show the existence of a domain of coexistence, which is a set of initial conditions in which both species survive. We demonstrate, under certain supplementary assumptions, the uniqueness of the stable equilibrium point which corresponds to the coexistence of the two species.
在本文中，我们考虑了一个简单的恒化器模型，该模型涉及两种必需的共生物种，它们以限制生长的基质为食。我们提出了微分方程组作为这种共生关系的模型。进行了详细的定性分析。我们展示了共生域的存在，它是一组初始条件，在这些条件下，两种物种都能存活。我们在某些补充假设下证明了对应于两种物种共存的稳定平衡点的唯一性。
