15 citations · 17 across the 2 of their papers we have counts for
3 papers
math.PR2015★ 2 cited
Dynamical Behavior of a stochastic SIRS epidemic model
N. T. Hieu, N. H. Du, P. Auger +1
In this paper we study the Kernack - MacKendrick model under telegraph noise. The telegraph noise switches at random between two SIRS models. We give out conditions for the persist…
nlin.AO2009★ 15 cited
French Roadmap for complex Systems 2008-2009
Paul Bourgine, David Chavalarias, Edith Perrier +78
This second issue of the French Complex Systems Roadmap is the outcome of the Entretiens de Cargese 2008, an interdisciplinary brainstorming session organized over one week in 2008…
math.AP2005
On a New Mechanism of Pattern Formation in Population Dynamics
Stephane Genieys, Vitaly Volpert, Pierre Auger
We study a reaction-diffusion equation with an integral term describing nonlocal consumption of resources. We show that a homogeneous equilibrium can lose its stability resulting i…