28 citations · 56 across the 7 of their papers we have counts for
8 papers
Tragedy of the Commons in the Chemostat
Martin Schuster, Eric Foxall, David Finch +2
We present a proof of principle for the phenomenon of the tragedy of the commons that is at the center of many theories on the evolution of cooperation. We establish the tragedy in…
Dynamics of Virus and Immune Response in Multi-Epitope Network
Cameron J. Browne, Hal L. Smith
The host immune response can often efficiently suppress a virus infection, which may lead to selection for immune-resistant viral variants within the host. For example, during HIV…
Permanence and Stability of a Kill the Winner Model in Marine Ecology
Daniel A. Korytowski, Hal L. Smith
We focus on the long term dynamics of "killing the winner" Lotka-Volterra models of marine communities consisting of bacteria, virus, and zooplankton. Under suitable conditions, it…
Persistence in Phage-Bacteria Communities with Nested and One-to-One Infection Networks
Daniel A. Korytowski, Hal L. Smith
We show that a bacteria and bacteriophage system with either a perfectly nested or a one-to-one infection network is permanent, a.k.a uniformly persistent, provided that bacteria t…
How Nested Infection Networks in Host-Phage Communities Come To Be
Daniel A. Korytowski, Hal L. Smith
We show that a chemostat community of bacteria and bacteriophage in which bacteria compete for a single nutrient and for which the bipartite infection network is perfectly nested i…
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…