50 citations · 82 across the 5 of their papers we have counts for
5 papers
Use of Topological Data Analysis for the Detection of Phenomenological Bifurcations in Stochastic Epidemiological Models
Sunia Tanweer, Konstantinos Mamis, Firas A. Khasawneh
We investigate predictions of stochastic compartmental models on the severity of disease outbreaks. The models we consider are the Susceptible-Infected-Susceptible (SIS) for bacter…
Modeling correlated uncertainties in stochastic compartmental models
Konstantinos Mamis, Mohammad Farazmand
We consider compartmental models of communicable disease with uncertain contact rates. Stochastic fluctuations are often added to the contact rate to account for uncertainties. Whi…
Stochastic compartmental models of COVID-19 pandemic must have temporally correlated uncertainties
Konstantinos Mamis, Mohammad Farazmand
Compartmental models are an important quantitative tool in epidemiology, enabling us to forecast the course of a communicable disease. However, the model parameters, such as the in…
Mitigation of rare events in multistable systems driven by correlated noise
Konstantinos Mamis, Mohammad Farazmand
We consider rare transitions induced by colored noise excitation in multistable systems. We show that undesirable transitions can be mitigated by a simple time-delay feedback contr…
Extensions of the Novikov-Furutsu theorem, obtained by using Volterra functional calculus
Gerassimos A. Athanassoulis, Konstantinos I. Mamis
Novikov-Furutsu (NF) theorem is a well-known mathematical tool, used in stochastic dynamics for correlation splitting, that is, for evaluating the mean value of the product of a ra…