A chemostat model with periodic pulse and time delay is discussed in this paper. The existence of the microorganism-free periodic solution is proved, which is globally attractive under some critical conditions. Moreover, the sufficient conditions on permanence of the system is obtained. Finally, some numerical simulations are given to illustrate the main results.
SUN Shulin ,ZHANG Ruijuan.
ANALYSIS OF A CLASS OF CHEMOSTAT MODEL WITH TIME DELAY AND PULSE INPUT FOR TWO-NUTRIENT AND TWO-MICROORGANISM. Journal of Systems Science and Mathematical Sciences, 2012, 32(1): 111-120 https://doi.org/10.12341/jssms11779