一种具有脉冲扰动的恒化器模型的动力学性质

The Dynamical Behaviors of a Chemostat Model with Impulsive Perturbations

在这篇文章中,我们提出并分析了一个具有捕食者,食饵和既有周期脉冲输入又有周期脉冲输出营养液的恒化器模型.我们得到了一种微生物和营养液共存的周期解,同时,也得到两种微生物都绝灭的周期解,而且建立了周期解稳定的充分条件.最后,我们给出了一个简单的讨论.

In this paper, we present and analyze a simple model for a chemostat with predator, prey and periodically pulsed input and washout suhstrate. We obtain the exact periodic solutions with positive concentrations of substrate and one of the microorganisms, and meanwhile we obtain also the two microorganisms extinction periodic solution, further, we establish sufficient conditions for the periodic solution is stable. Finally, a brief discussion of our restih is given.