Dynamics of a Periodically Pulsed Bio-reactor Model

Abstract

Global attractivity and uniform persistence are established for both single species growth and two species competition in a periodically pulsed bio-reactor model in terms of principal eigenvalues of the periodic-parabolic eigenvalue problem by appealing to the theories of monotone discrete dynamical systems, abstract persistence, asymptotically periodic semiflows, and perturbation of global attractors. © 1999 Academic Press.