@article { , title = {Likelihood-Free Dynamical Survival Analysis applied to the COVID-19 epidemic in Ohio}, abstract = {The Dynamical Survival Analysis (DSA) is a framework for modeling epidemics based on mean field dynamics applied to individual (agent) level history of infection and recovery. Recently, the DSA method has been shown to be an effective tool in analyzing complex non-Markovian epidemic processes that are otherwise difficult to handle using standard methods. One of the advantages of DSA is its representation of typical epidemic data in a simple although not explicit form that involves solutions of certain differential equations. In this work we describe how a complex non-Markovian DSA model may be applied to a specific data set with the help of appropriate numerical and statistical schemes. The ideas are illustrated with a data example of the COVID-19 epidemic in Ohio.}, doi = {10.3934/mbe.2023192}, eissn = {1551-0018}, issn = {1547-1063}, issue = {2}, journal = {Mathematical Biosciences and Engineering}, pages = {4103-4127}, publicationstatus = {Published}, publisher = {American Institute of Mathematical Sciences (AIMS)}, url = {https://nottingham-repository.worktribe.com/output/15169540}, volume = {20}, keyword = {Applied Mathematics, Computational Mathematics, General Agricultural and Biological Sciences, Modeling and Simulation, General Medicine, SIR epidemics, vaccination, PDE system, Nonlocal PDE, Nonlocal conservation laws, ABC method, Statistical inference, N}, year = {2023}, author = {Klaus, Colin and Wascher, Matthew and KhudaBukhsh, Wasiur R. and RempaƂa, Grzegorz A.} }