TY - JOUR
T1 - Dynamics of a Periodically Pulsed Bio-Reactor Model With a Hydraulic Storage Zone
AU - Hsu, Sze Bi
AU - Wang, Feng Bin
AU - Zhao, Xiao Qiang
PY - 2011/12
Y1 - 2011/12
N2 - In this paper, we investigate a periodically pulsed bio-reactor model of a flowing water habitat with a hydraulic storage zone in which no flow occurs. The full system can be reduced to a limiting system based on a conservation principle. Then we obtain sufficient conditions in terms of principal eigenvalues for the persistence of single population and the coexistence of two competing populations for the limiting system by appealing to the theory of monotone dynamical systems. Finally, we use the theory of chain transitive sets to lift the dynamics of the limiting system to the full system.
AB - In this paper, we investigate a periodically pulsed bio-reactor model of a flowing water habitat with a hydraulic storage zone in which no flow occurs. The full system can be reduced to a limiting system based on a conservation principle. Then we obtain sufficient conditions in terms of principal eigenvalues for the persistence of single population and the coexistence of two competing populations for the limiting system by appealing to the theory of monotone dynamical systems. Finally, we use the theory of chain transitive sets to lift the dynamics of the limiting system to the full system.
KW - Extinction and persistence
KW - Hydraulic storage zone
KW - Periodic bioreactor model
KW - Periodic coexistence state
UR - https://www.scopus.com/pages/publications/81155152340
U2 - 10.1007/s10884-011-9224-3
DO - 10.1007/s10884-011-9224-3
M3 - 文章
AN - SCOPUS:81155152340
SN - 1040-7294
VL - 23
SP - 817
EP - 842
JO - Journal of Dynamics and Differential Equations
JF - Journal of Dynamics and Differential Equations
IS - 4
ER -
