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Periodic differential systems with applications to ecological modelling

Posted on:1999-11-04Degree:Ph.DType:Thesis
University:University of Alberta (Canada)Candidate:Peng, Qiu LiangFull Text:PDF
GTID:2460390014971491Subject:Mathematics
Abstract/Summary:
This thesis deals with some models concerning various aspects of periodic systems of differential equations, including uniform persistence, and the existence and stability of 'interior' periodic solutions. Biological implications, significance and relevance of the results in each chapter are included. The mathematical techniques used include Floquet theory, persistence theory, dissipative theory, topological degree theory and the theory of monotone dynamical systems.
Keywords/Search Tags:Systems, Periodic, Theory
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