38 citations · 69 across the 11 of their papers we have counts for
16 papers
A second eight-faced polyhedron in which every two faces share an edge
Gergely Röst, Viktor Vígh
We report a novel polyhedral surface of genus~3 embedded in with eight planar, simple, non-convex nonagonal faces, 24 vertices and 36 edges, in which every two faces…
Bifurcation analysis of waning-boosting epidemiological models with repeat infections and varying immunity periods
Richmond Opoku-Sarkodie, Ferenc A. Bartha, Mónika Polner +1
We consider the SIRWJS epidemiological model that includes the waning and boosting of immunity via secondary infections. We carry out combined analytical and numerical investigatio…
Real-time estimation of the effective reproduction number of COVID-19 from behavioral data
Eszter Bokányi, Zsolt Vizi, Júlia Koltai +2
Near-real time estimations of the effective reproduction number are among the most important tools to track the progression of a pandemic and to inform policy makers and the genera…
In silico evaluation of Paxlovid's pharmacometrics for SARS-CoV-2: a multiscale approach
Ferenc A. Bartha, Nóra Juhász, Sadegh Marzban +2
Paxlovid is a promising, orally bioavailable novel drug for SARS--CoV--2 with excellent safety profiles. Our main goal here is to explore the pharmacometric features of this new an…
Dynamics of an SIRWS model with waning of immunity and varying immune boosting period
Richmond Opoku-Sarkodie, Ferenc A. Bartha, Mónika Polner +1
SIRS models capture transmission dynamics of infectious diseases for which immunity is not lifelong. Extending these models by a W compartment for individuals with waning immunity,…
Understanding hesitancy with revealed preferences across COVID-19 vaccine types
Kristóf Kutasi, Júlia Koltai, Ágnes Szabó-Morvai +4
Many countries have secured larger quantities of COVID-19 vaccines than their populace is willing to take. This abundance and variety of vaccines created a historical moment to und…
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.…
A monotonic relationship between the variability of the infectious period and final size in pairwise epidemic modelling
Zsolt Vizi, István Z. Kiss, Joel C. Miller +1
For a recently derived pairwise model of network epidemics with non-Markovian recovery, we prove that under some mild technical conditions on the distribution of the infectious per…
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…
Global stability of an SIS epidemic model with a finite infectious period
Yukihiko Nakata, Gergely Rost
Assuming a general distribution for the sojourn time in the in- fectious class, we consider an SIS type epidemic model formulated as a scalar integral equation. We prove that the e…
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…
Mathematical models for vaccination, waning immunity and immune system boosting: a general framework
Maria Vittoria Barbarossa, Gergely Röst
When the body gets infected by a pathogen or receives a vaccine dose, the immune system develops pathogen-specific immunity. Induced immunity decays in time and years after recover…
Immuno-epidemiology of a population structured by immune status: a mathematical study of waning immunity and immune system boosting
Maria Vittoria Barbarossa, Gergely Röst
When the body gets infected by a pathogen the immune system develops pathogen-specific immunity. Induced immunity decays in time and years after recovery the host might become susc…
Large number of endemic equilibria for disease transmission models in patchy environment
Diána H. Knipl, Gergely Röst
We show that disease transmission models in a spatially heterogeneous environment can have a large number of coexisting endemic equilibria. A general compartmental model is conside…
Persistence, permanence and global stability for an n-dimensional Nicholson system
Teresa Faria, Gergely Rost
For a Nicholson's blowflies system with patch structure and multiple discrete delays, we analyze several features of the global asymptotic behavior of its solutions. It is shown th…
Modelling the strategies for age specific vaccination scheduling during influenza pandemic outbreaks
Diána Knipl, Gergely Röst
Finding optimal policies to reduce the morbidity and mortality of the ongoing pandemic is a top public health priority. Using a compartmental model with age structure and vaccinati…