具有脉冲毒素投放和营养再生的恒化器模型

A chemostat model with impulsive toxicant input and nutrient recycling

研究具有脉冲毒素投放和营养再生的恒化器模型.利用脉冲微分方程的比较定理和小扰动方法得到了边界周期解全局渐近稳定的充分条件,进而得到了系统持续生存的充分条件.结果表明毒素环境将会导致微生物种群的灭绝.

In this paper, we consider a chemostat model with impulsive toxicant input and nutrient recycling. By comparison theory and small amplitude perturbation method, we obtain the sufficient condition for the global asymptotic stability of boundary periodic solution. Furthermore, the sufficient condition for the permanence of the system is obtained. The results show that poisonous environment will lead the microorganism species to be extinct.