28 citations · 56 across the 7 of their papers we have counts for
Showing math.DSShow all
3 papers · 1 filter
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…
math.DS2006★ 17 cited
Prevalent Behavior of Strongly Order Preserving Semiflows
German A. Enciso, Morris W. Hirsch, Hal L. Smith
Classical results in the theory of monotone semiflows give sufficient conditions for the generic solution to converge toward an equilibrium or towards the set of equilibria (quasic…