1 citations · 2 across the 6 of their papers we have counts for
6 papers
The Basic Reproduction Number for Bounded Linear Operators on Ordered Banach Spaces
Zachary Gregg, Patrick De Leenheer
A basic reproduction number, , is a concept encountered frequently in the study of ecological and epidemiological models. It is routinely used to determine the stability of an…
Stability of diffusively coupled linear systems with an invariant cone
Patrick De Leenheer
This paper concerns a question that frequently occurs in various applications: Is any diffusive coupling of stable linear systems, also stable? Although it has been known for a lon…
About Transgressive Over-Yielding in the Chemostat
Denis Dochain, Patrick De Leenheer, Alain Rapaport
We show that for certain configurations of two chemostats fed in parallel, the presence of two different species in each tank can improve the yield of the whole process, compared t…
On persistence and cascade decompositions of chemical reaction networks
David Angeli, Patrick De Leenheer, Eduardo Sontag
New checkable criteria for persistence of chemical reaction networks are proposed, which extend and complement those obtained by the authors in previous work. The new results allow…
Failure of antibiotic treatment in microbial populations
Patrick De Leenheer, Nick Cogan
The tolerance of bacterial populations to biocidal or antibiotic treatment has been well documented in both biofilm and planktonic settings. However, there is still very little kno…
Within-host HIV models with periodic antiretroviral therapy
Patrick De Leenheer
This paper investigates the effect of drug treatment on the standard within-host HIV model, assuming that therapy occurs periodically. It is shown that eradication is possible unde…