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math.DS2011
Global Dynamics of the smallest Chemical Reaction System with Hopf Bifurcation
Hal L. Smith
The global behavior of solutions is described for the smallest chemical reaction system that exhibits a Hopf bifurcation, discovered in \cite{WH1}. This three-dimensional system is…
math.DS2011
Global Dynamics of a Discrete Two-species Lottery-Ricker Competition Model
Yun Kang, Hal Smith
In this article, we study the global dynamics of a discrete two dimensional competition model. We give sufficient conditions on the persistence of one species and the existence of…