Global asymptotic behavior of an aquatic system with periodic nutrient supply
Abstract
We study the dynamical properties of a chemostat model in which two species compete
for a periodically supplied, growth-limiting nutrient. We exploit the well known basic
properties of the model to study the behaviour in an aquatic system. This dissertation
contains six chapters: the introduction, literature review and four other chapters. The
introduction in chapter one deals with the assumptions and basic properties that justify
formulation of a chemostat model. In chapter two, we review what has been done.
We review the analysis of models incorporatinq. either constant or periodic parameters,
inhibition factors as well as tkne delays. In chapter three, we provide the necessary
results and boundedness t.o have. the model meaningful. This chapter is based on the
assumption thatthe nutrient is supplied at a constant rate. In chapter four we extend the
results in chapter three to study a system in which the nutrient supply varies with time.
In chapter five, we numerically demonstrate thebebaviour of solutions of chapter four.
Chapter six is the conclusion.
Citation
University of NairobiPublisher
University of Nairobi School of Physical sciences, University of Nairobi
Description
Master of Science in Applied Mathematics