3 papers
math.NA2025
A comprehensive numerical investigation of a coupled mathematical model of neuronal excitability
Burcu Gürbüz, Aytül Gökçe, Mahmut Modanlı
Being an example for a relaxation oscillator, the FitzHugh-Nagumo model has been widely employed for describing the generation of action potentials. In this paper, we begin with a…
q-bio.PE2025
An SIRS-model considering waning efficiency and periodic re-vaccination
Joseph Páez Chávez, Aytül Gökçe, Thomas Götz +1
In this paper, we extend the classical SIRS (Susceptible-Infectious-Recovered-Susceptible) model from mathematical epidemiology by incorporating a vaccinated compartment, V, accoun…
math.DS2023
Dynamics of a mathematical model of virus spreading incorporating the effect of a vaccine
Aytül Gökçe, Burcu Gürbüz, Alan D. Rendall
The COVID-19 pandemic led to widespread interest in epidemiological models. In this context the role of vaccination in influencing the spreading of the disease is of particular int…