Dynamics of a Periodically Pulsed Bio-reactor Model

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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. Copyright 1999 Academic Press.

Document Type: Research Article

Affiliations: Department of Mathematics, Arizona State University, Tempe, Arizona, 85287-1804

Publication date: July 1, 1999

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