研究了一类带有B-D型功能反应函数的非均匀恒化器模型.首先,以物种v的生长率为分歧参数,利用全局分歧理论,得到了该系统的全局结构.其次,利用抛物型方程的比较原理,正则化理论及Lyapunov函数,研究了该模型解的渐近行为.
An unstirred chemostat model with B-D functional response is discussed. First,we treat the growth rate of v as the bifurcation parameter to obtain the global structure of this system by the theorem of global bifurcation.Second,by the means of comparison principle,regularity theorem and Lyapunov function,the asymptotic behavior of solutions of the system is considered.