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Abstract
In this thesis, the static and dynamic bifurcation analysis for a boundary value problem applied to a wastewater treatment system (Activated Sludge Process) has been studied. Two models of the bio-reactor have been developed.
In the first model (Homogeneous System) the diffusion effect on the operation of mass transfer in the bio-floes was neglected which leads to a system of first order, non linear, ordinary differential equations of the first degree. A wealth of bifurcadon phenomena as well as chaotic solutions have been produced after a period doubling .
In the second model ( heterogeneous model ) , the diffusion of the mass transfer in the bio-floes was taken into account which leads to a system of nonlinear, boundary value, ordinary differential equations of the second degree. The bifurcation analysis of the system shows a multiplicity of steady state solutions (3 steady states).Sharing the state space for different stable solutions were also investigated.