Dynamics of a periodically pulsed bio-reactor model

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:155

Article

Smith, HL ; Zhao, XQ

关键词: positive periodic solutions;    global attractivity;    uniform persistence;    principal eigenvalues;   

DOI  :  10.1006/jdeq.1998.3587

来源: Elsevier

【 摘 要 】

Global attractivity and uniform persistence are established for both single species growth and two species competition in a periodically pulsed bio-reactcr 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. (C) 1999 Academic Press.

【 授权许可】

Free