Nakaoka Shinji, Takeuchi Yasuhiro
Graduate School of Science and Technology, Shizuoka University, Johoku 3-5-1, Hamamatsu, Shizuoka 432-8561, Japan.
Math Biosci. 2006 May;201(1-2):157-71. doi: 10.1016/j.mbs.2005.12.011. Epub 2006 Jan 30.
Competition on a model with nutrient recycling is considered. The model is based on a chemostat-type equation which is used to study population dynamics of microorganisms. The model consists of four organisms competing for a limiting nutrient. Nutrient is supplied both from the in-flow of medium and a recycling with delay, the latter is generated from dead organisms by bacterial decomposition. This paper shows that the model undergoes a Hopf bifurcation through a critical value of time delay when the in-flow is small. Coexistence of four organisms competing for one limiting nutrient is indicated by numerical simulation results.
考虑了一个具有养分循环的模型中的竞争。该模型基于一个恒化器类型的方程，用于研究微生物的种群动态。该模型由四种竞争有限养分的生物体组成。养分既从培养基的流入中供应，也通过延迟循环供应，后者是由细菌分解死亡生物体产生的。本文表明，当流入量较小时，该模型通过一个临界时间延迟值经历霍普夫分岔。数值模拟结果表明了四种竞争一种有限养分的生物体的共存。
