Thesis/thesis.bbl

\begin{thebibliography}{10}

\bibitem{Anderson1991}
R.~M. Anderson, Roy Malcolm;~May.
\newblock {\em Infectious diseases of humans : dynamics and control}.
\newblock Oxford University Press, 1991.

\bibitem{Berkhahn2022}
S.~Berkhahn and M.~Ehrhardt.
\newblock A physics-informed neural network to model covid-19 infection and
  hospitalization scenarios.
\newblock {\em Advances in Continuous and Discrete Models}, 2022(1), Oct. 2022.

\bibitem{Cooke1996}
K.~L. Cooke and P.~van~den Driessche.
\newblock Analysis of an seirs epidemic model with two delays.
\newblock {\em Journal of Mathematical Biology}, 35(2):240--260, Dec. 1996.

\bibitem{Demtroeder2021}
W.~Demtröder.
\newblock {\em Experimentalphysik 1}, volume~1 of {\em Lehrbuch}.
\newblock Springer Spektrum, Berlin, 9. auflage edition, 2021.
\newblock Auf dem Umschlag: Mit über 2,5 h Lösungsvideos zu ausgewählten
  Aufgaben.

\bibitem{Doerre2022}
A.~Doerre and G.~Doblhammer.
\newblock The influence of gender on covid-19 infections and mortality in
  germany: Insights from age- and gender-specific modeling of contact rates,
  infections, and deaths in the early phase of the pandemic.
\newblock {\em PLOS ONE}, 17(5):e0268119, May 2022.

\bibitem{EdelsteinKeshet2005}
L.~Edelstein-Keshet.
\newblock {\em Mathematical Models in Biology}.
\newblock Society for Industrial and Applied Mathematics, 2005.

\bibitem{COVInfo}
{Federal Centre for Health Education}.
\newblock Ansteckung, Übertragung und krankheitsverlauf.
\newblock
  \url{https://www.infektionsschutz.de/coronavirus/fragen-und-antworten/ansteckung-uebertragung-und-krankheitsverlauf/}.
\newblock {Accessed: 2024-09-05}.

\bibitem{COVIDChronik}
{Federal Ministry of Health}.
\newblock Coronavirus-pandemie: Was geschah wann?
\newblock
  \url{https://www.bundesgesundheitsministerium.de/coronavirus/chronik-coronavirus.html}.
\newblock {Accessed: 2024-09-05}.

\bibitem{Gilbert2010}
G.~N. Gilbert.
\newblock {\em Agent-based models}.
\newblock Number 153 in Quantitative applications in the social sciences. Sage
  Publ., Los Angeles [u.a.], 3. pr. edition, 2010.

\bibitem{Goodfellow-et-al-2016}
I.~Goodfellow, Y.~Bengio, and A.~Courville.
\newblock {\em Deep Learning}.
\newblock MIT Press, 2016.
\newblock \url{http://www.deeplearningbook.org}.

\bibitem{Hornik1989}
K.~Hornik, M.~Stinchcombe, and H.~White.
\newblock Multilayer feedforward networks are universal approximators.
\newblock {\em Neural Networks}, 2(5):359--366, Jan. 1989.

\bibitem{1927}
W.~O. Kermack and A.~G. McKendrick.
\newblock A contribution to the mathematical theory of epidemics.
\newblock {\em Proceedings of the Royal Society of London. Series A, Containing
  Papers of a Mathematical and Physical Character}, 115(772):700--721, Aug.
  1927.

\bibitem{Kerr2021}
C.~C. Kerr, R.~M. Stuart, D.~Mistry, R.~G. Abeysuriya, K.~Rosenfeld, G.~R.
  Hart, R.~C. Núñez, J.~A. Cohen, P.~Selvaraj, B.~Hagedorn, L.~George,
  M.~Jastrzębski, A.~S. Izzo, G.~Fowler, A.~Palmer, D.~Delport, N.~Scott,
  S.~L. Kelly, C.~S. Bennette, B.~G. Wagner, S.~T. Chang, A.~P. Oron, E.~A.
  Wenger, J.~Panovska-Griffiths, M.~Famulare, and D.~J. Klein.
\newblock Covasim: An agent-based model of covid-19 dynamics and interventions.
\newblock {\em PLOS Computational Biology}, 17(7):e1009149, July 2021.

\bibitem{Kirchhoff1845}
S.~Kirchhoff.
\newblock Ueber den durchgang eines elektrischen stromes durch eine ebene,
  insbesondere durch eine kreisförmige.
\newblock {\em Annalen der Physik}, 140(4):497--514, Jan. 1845.

\bibitem{Lagaris1997}
I.~E. Lagaris, A.~Likas, and D.~I. Fotiadis.
\newblock Artificial neural networks for solving ordinary and partial
  differential equations.
\newblock 1997.

\bibitem{Liu2012}
X.~Liu and P.~Stechlinski.
\newblock Infectious disease models with time-varying parameters and general
  nonlinear incidence rate.
\newblock {\em Applied Mathematical Modelling}, 36(5):1974--1994, May 2012.

\bibitem{Maziarz2020}
M.~Maziarz and M.~Zach.
\newblock Agent‐based modelling for sars‐cov‐2 epidemic prediction and
  intervention assessment: A methodological appraisal.
\newblock {\em Journal of Evaluation in Clinical Practice}, 26(5):1352--1360,
  Aug. 2020.

\bibitem{Millevoi2023}
C.~Millevoi, D.~Pasetto, and M.~Ferronato.
\newblock A physics-informed neural network approach for compartmental
  epidemiological models.
\newblock 2023.

\bibitem{Minsky1972}
M.~Minsky and S.~A. Papert.
\newblock {\em Perceptrons}.
\newblock The MIT Press, Cambridge/Mass. [u.a.], 2. print. with corr edition,
  1972.
\newblock Literaturangaben.

\bibitem{Oksendal2000}
B.~Oksendal.
\newblock {\em Stochastic Differential Equations}.
\newblock Universitext Ser. Springer Berlin / Heidelberg, Berlin, Heidelberg,
  5th ed. edition, 2000.
\newblock Description based on publisher supplied metadata and other sources.

\bibitem{Olumoyin2021}
K.~D. Olumoyin, A.~Q.~M. Khaliq, and K.~M. Furati.
\newblock Data-driven deep-learning algorithm for asymptomatic covid-19 model
  with varying mitigation measures and transmission rate.
\newblock {\em Epidemiologia}, 2(4):471--489, Sept. 2021.

\bibitem{Paszke2019}
A.~Paszke, S.~Gross, F.~Massa, A.~Lerer, J.~Bradbury, G.~Chanan, T.~Killeen,
  Z.~Lin, N.~Gimelshein, L.~Antiga, A.~Desmaison, A.~Köpf, E.~Yang, Z.~DeVito,
  M.~Raison, A.~Tejani, S.~Chilamkurthy, B.~Steiner, L.~Fang, J.~Bai, and
  S.~Chintala.
\newblock Pytorch: An imperative style, high-performance deep learning library,
  2019.

\bibitem{Raissi2017}
M.~Raissi, P.~Perdikaris, and G.~E. Karniadakis.
\newblock Physics informed deep learning (part i): Data-driven solutions of
  nonlinear partial differential equations, 2017.

\bibitem{RKI}
RKI.
\newblock Covid-19-strategiepapiere und nationaler pandemieplan.
\newblock
  \url{https://www.rki.de/DE/Content/InfAZ/N/Neuartiges_Coronavirus/ZS/Pandemieplan_Strategien.html}.
\newblock {Accessed: 2024-09-06}.

\bibitem{GHDead}
RKI.
\newblock Github covid-19-todesfälle in deutschland.
\newblock
  \url{https://github.com/robert-koch-institut/COVID-19-Todesfaelle_in_Deutschland}.
\newblock {Accessed: 2024-09-05}.

\bibitem{GHInf}
RKI.
\newblock Github sars-cov-2 infektionen in deutschland.
\newblock
  \url{https://github.com/robert-koch-institut/SARS-CoV-2-Infektionen_in_Deutschland}.
\newblock {Accessed: 2024-09-05}.

\bibitem{RKIa}
RKI.
\newblock Sars-cov-2: Virologische basisdaten sowie virusvarianten im zeitraum
  von 2020 - 2022.
\newblock
  \url{https://www.rki.de/DE/Content/InfAZ/N/Neuartiges_Coronavirus/Virologische_Basisdaten.html?nn=13490888#doc14716546bodyText10}.
\newblock {Accessed: 2024-09-05}.

\bibitem{Rosenblatt1958}
F.~Rosenblatt.
\newblock The perceptron: A probabilistic model for information storage and
  organization in the brain.
\newblock {\em Psychological Review}, 65(6):386--408, 1958.

\bibitem{Rudin2007}
W.~Rudin.
\newblock {\em Analysis}.
\newblock Oldenbourg Wissenschaftsverlag GmbH, 2007.

\bibitem{Rumelhart1986}
D.~E. Rumelhart, G.~E. Hinton, and R.~J. Williams.
\newblock Learning representations by back-propagating errors.
\newblock {\em Nature}, 323(6088):533--536, Oct. 1986.

\bibitem{Setianto2023}
S.~Setianto and D.~Hidayat.
\newblock Modeling the time-dependent transmission rate using gaussian pulses
  for analyzing the covid-19 outbreaks in the world.
\newblock {\em Scientific Reports}, 13(1), Mar. 2023.

\bibitem{Shaier2021}
S.~Shaier, M.~Raissi, and P.~Seshaiyer.
\newblock Data-driven approaches for predicting spread of infectious diseases
  through dinns: Disease informed neural networks, 2021.

\bibitem{Smirnova2017}
A.~Smirnova, L.~deCamp, and G.~Chowell.
\newblock Forecasting epidemics through nonparametric estimation of
  time-dependent transmission rates using the seir model.
\newblock {\em Bulletin of Mathematical Biology}, 81(11):4343--4365, May 2017.

\bibitem{SRD}
{Statista Research Department}.
\newblock Anzahl infektionen und todesfälle in zusammenhang mit dem
  coronavirus (covid-19) in deutschland seit februar 2020.
\newblock
  https://de.statista.com/statistik/daten/studie/1102667/umfrage/erkrankungs-und-todesfaelle-aufgrund-des-coronavirus-in-deutschland/.
\newblock {Accessed: 2024-09-06}.

\bibitem{Tenenbaum1985}
M.~Tenenbaum and H.~Pollard.
\newblock {\em Ordinary Differential Equations}.
\newblock Harper and Row, Publishers, Inc., 1985.

\bibitem{WHO}
WHO.
\newblock Coronavirus disease (covid-19).
\newblock \url{https://www.who.int/health-topics/coronavirus#tab=tab_1}.
\newblock {Accessed: 2024-09-06}.

\end{thebibliography}