9 citations · 19 across the 7 of their papers we have counts for
8 papers
Bistability and complex bifurcation diagrams generated by waning and boosting of immunity
Francesca Scarabel, Mónika Polner, Daniel Wylde +2
We investigate an epidemiological model that incorporates waning of immunity at the individual level and boosting of the immune system upon re-exposure to the pathogen. When immuni…
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…
Bifurcations of Neural Fields on the Sphere
Len Spek, Stephan A. van Gils, Yuri A. Kuznetsov +1
A common model to study pattern formation in large groups of neurons is the neural field. We investigate a neural field with excitatory and inhibitory neurons, like Wilson and Cowa…
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,…
Dynamics of delayed neural field models in two-dimensional spatial domains
L. Spek, M. Polner, K. Dijkstra +1
Delayed neural field models can be viewed as a dynamical system in an appropriate functional analytic setting. On two dimensional rectangular space domains, and for a special class…
The role of the time delay in the reflection and transmission of ultrashort electromagnetic pulses on a system of parallel current sheets
M. Polner, S. Varró, A. Vörös-Kiss
The reflection and transmission of a few-cycle laser pulse impinging on two parallel thin metal layers have been analyzed. The two layers, with a thickness much smaller than the sk…
A space-time finite element method for neural field equations with transmission delays
M. Polner, J. J. W. van der Vegt, S. A. van Gils
We present and analyze a new space-time finite element method for the solution of neural field equations with transmission delays. The numerical treatment of these systems is rare…
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…