MISTEA, University of Montpellier, INRAE, Montpellier SupAgro, France.
SPO, University of Montpellier, INRAE, Montpellier SupAgro, France.
Math Biosci. 2020 Apr;322:108322. doi: 10.1016/j.mbs.2020.108322. Epub 2020 Feb 11.
We study mechanisms that can produce an increase of biomass production in batch processes when considering mixed cultures, compared to pure cultures. We show that growth thresholds or variable yields can produce 'overyielding', while this is not possible in the classical batch model with multiple species. We give sufficient conditions on the characteristics of the species to obtain overyielding, and illustrate these theoretical results with numerical simulations. This work provides new insights on species complementary in models of mixed cultures, without having to consider direct interactions terms between species as, for instance in the well known Generalized Lotka-Volterra model.
我们研究了在考虑混合培养物时，与纯培养物相比，能够在批量过程中产生生物量增加的机制。我们表明，生长阈值或可变产量可以产生“超增长”，而在具有多种物种的经典批量模型中则不可能。我们给出了获得超增长的物种特征的充分条件，并通过数值模拟说明了这些理论结果。这项工作为混合培养物模型中的物种互补提供了新的见解，而无需考虑物种之间的直接相互作用项，例如在著名的广义Lotka-Volterra 模型中。
