3 papers
math.DS2018
Global stability of a multistrain SIS model with superinfection and patch structure
Attila Dénes, Yoshiaki Muroya, Gergely Röst
We study the global stability of a multistrain SIS model with superinfection and patch structure. We establish an iterative procedure to obtain a sequence of threshold parameters.…
math.DS2017
Controlling Mackey--Glass chaos
Gábor Kiss, Gergely Röst
The Mackey--Glass equation, which was proposed to illustrate nonlinear phenomena in physiological control systems, is a classical example of a simple looking time delay system with…
math.DS2016
Stability switches induced by immune system boosting in an SIRS model with discrete and distributed delays
Maria Vittoria Barbarossa, Monika Polner, Gergely Röst
We consider an epidemiological model that includes waning and boosting of immunity. Assuming that repeated exposure to the pathogen fully restores immunity, we derive an SIRS-type…