Thesis/thesis.bbl

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\begin{thebibliography}{KSM{\etalchar{+}}21}

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\providecommand{\url}[1]{\texttt{#1}}
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  \providecommand{\doi}[1]{doi: #1}\else
  \providecommand{\doi}{doi: \begingroup \urlstyle{rm}\Url}\fi

\bibitem[And91]{Anderson1991}
\textsc{Anderson}, Robert~M. Roy Malcolm;~May~M. Roy Malcolm;~May:
\newblock \emph{Infectious diseases of humans : dynamics and control}.
\newblock Oxford University Press, 1991

\bibitem[BE22]{Berkhahn2022}
\textsc{Berkhahn}, Sarah ; \textsc{Ehrhardt}, Matthias:
\newblock A physics-informed neural network to model COVID-19 infection and
  hospitalization scenarios.
\newblock {In: }\emph{Advances in Continuous and Discrete Models} 2022 (2022),
  Oktober, Nr. 1.
\newblock \url{http://dx.doi.org/10.1186/s13662-022-03733-5}. --
\newblock DOI 10.1186/s13662--022--03733--5. --
\newblock ISSN 2731--4235

\bibitem[CD96]{Cooke1996}
\textsc{Cooke}, K.~L. ; \textsc{Driessche}, P. van~d.:
\newblock Analysis of an SEIRS epidemic model with two delays.
\newblock {In: }\emph{Journal of Mathematical Biology} 35 (1996), Dezember, Nr.
  2, S. 240--260.
\newblock \url{http://dx.doi.org/10.1007/s002850050051}. --
\newblock DOI 10.1007/s002850050051. --
\newblock ISSN 1432--1416

\bibitem[DD22]{Doerre2022}
\textsc{Doerre}, Achim ; \textsc{Doblhammer}, Gabriele:
\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 {In: }\emph{PLOS ONE} 17 (2022), Mai, Nr. 5, S. e0268119.
\newblock \url{http://dx.doi.org/10.1371/journal.pone.0268119}. --
\newblock DOI 10.1371/journal.pone.0268119. --
\newblock ISSN 1932--6203

\bibitem[Dem21]{Demtroeder2021}
\textsc{Demtröder}, Wolfgang:
\newblock \emph{Lehrbuch}. Bd.~1: {\emph{Experimentalphysik 1}}.
\newblock 9. Auflage.
\newblock Berlin : Springer Spektrum, 2021. --
\newblock ISBN 978--3--662--62727--3. --
\newblock Auf dem Umschlag: Mit über 2,5 h Lösungsvideos zu ausgewählten
  Aufgaben

\bibitem[EK05]{EdelsteinKeshet2005}
\textsc{Edelstein-Keshet}, Leah:
\newblock \emph{Mathematical Models in Biology}.
\newblock Society for Industrial and Applied Mathematics, 2005

\bibitem[GBC16]{Goodfellow-et-al-2016}
\textsc{Goodfellow}, Ian ; \textsc{Bengio}, Yoshua  ; \textsc{Courville},
  Aaron:
\newblock \emph{Deep Learning}.
\newblock MIT Press, 2016. --
\newblock \url{http://www.deeplearningbook.org}

\bibitem[Gil10]{Gilbert2010}
\textsc{Gilbert}, G.~N.:
\newblock \emph{Agent-based models}.
\newblock 3. pr.
\newblock Los Angeles [u.a.] : Sage Publ., 2010 (Quantitative applications in
  the social sciences 153). --
\newblock ISBN 978--1--4129--4964--4

\bibitem[HSW89]{Hornik1989}
\textsc{Hornik}, Kurt ; \textsc{Stinchcombe}, Maxwell  ; \textsc{White},
  Halbert:
\newblock Multilayer feedforward networks are universal approximators.
\newblock {In: }\emph{Neural Networks} 2 (1989), Januar, Nr. 5, S. 359--366.
\newblock \url{http://dx.doi.org/10.1016/0893-6080(89)90020-8}. --
\newblock DOI 10.1016/0893--6080(89)90020--8. --
\newblock ISSN 0893--6080

\bibitem[KM27]{1927}
\textsc{Kermack}, William~O. ; \textsc{McKendrick}, A.~G.:
\newblock A contribution to the mathematical theory of epidemics.
\newblock {In: }\emph{Proceedings of the Royal Society of London. Series A,
  Containing Papers of a Mathematical and Physical Character} 115 (1927),
  August, Nr. 772, S. 700--721.
\newblock \url{http://dx.doi.org/10.1098/rspa.1927.0118}. --
\newblock DOI 10.1098/rspa.1927.0118. --
\newblock ISSN 2053--9150

\bibitem[KSM{\etalchar{+}}21]{Kerr2021}
\textsc{Kerr}, Cliff~C. ; \textsc{Stuart}, Robyn~M. ; \textsc{Mistry}, Dina ;
  \textsc{Abeysuriya}, Romesh~G. ; \textsc{Rosenfeld}, Katherine ;
  \textsc{Hart}, Gregory~R. ; \textsc{Núñez}, Rafael~C. ; \textsc{Cohen},
  Jamie~A. ; \textsc{Selvaraj}, Prashanth ; \textsc{Hagedorn}, Brittany ;
  \textsc{George}, Lauren ; \textsc{Jastrzębski}, Michał ; \textsc{Izzo},
  Amanda~S. ; \textsc{Fowler}, Greer ; \textsc{Palmer}, Anna ;
  \textsc{Delport}, Dominic ; \textsc{Scott}, Nick ; \textsc{Kelly}, Sherrie~L.
  ; \textsc{Bennette}, Caroline~S. ; \textsc{Wagner}, Bradley~G. ;
  \textsc{Chang}, Stewart~T. ; \textsc{Oron}, Assaf~P. ; \textsc{Wenger},
  Edward~A. ; \textsc{Panovska-Griffiths}, Jasmina ; \textsc{Famulare}, Michael
   ; \textsc{Klein}, Daniel~J.:
\newblock Covasim: An agent-based model of COVID-19 dynamics and interventions.
\newblock {In: }\emph{PLOS Computational Biology} 17 (2021), Juli, Nr. 7, S.
  e1009149.
\newblock \url{http://dx.doi.org/10.1371/journal.pcbi.1009149}. --
\newblock DOI 10.1371/journal.pcbi.1009149. --
\newblock ISSN 1553--7358

\bibitem[LLF97]{Lagaris1997}
\textsc{Lagaris}, I.~E. ; \textsc{Likas}, A.  ; \textsc{Fotiadis}, D.~I.:
\newblock Artificial Neural Networks for Solving Ordinary and Partial
  Differential Equations.
\newblock   (1997).
\newblock \url{http://dx.doi.org/10.48550/ARXIV.PHYSICS/9705023}. --
\newblock DOI 10.48550/ARXIV.PHYSICS/9705023

\bibitem[LS12]{Liu2012}
\textsc{Liu}, Xinzhi ; \textsc{Stechlinski}, Peter:
\newblock Infectious disease models with time-varying parameters and general
  nonlinear incidence rate.
\newblock {In: }\emph{Applied Mathematical Modelling} 36 (2012), Mai, Nr. 5, S.
  1974--1994.
\newblock \url{http://dx.doi.org/10.1016/j.apm.2011.08.019}. --
\newblock DOI 10.1016/j.apm.2011.08.019. --
\newblock ISSN 0307--904X

\bibitem[Mat84]{Matsumoto1984}
\textsc{Matsumoto}, T.:
\newblock A chaotic attractor from Chua’s circuit.
\newblock {In: }\emph{IEEE Transactions on Circuits and Systems} 31 (1984),
  Dezember, Nr. 12, S. 1055--1058.
\newblock \url{http://dx.doi.org/10.1109/tcs.1984.1085459}. --
\newblock DOI 10.1109/tcs.1984.1085459. --
\newblock ISSN 0098--4094

\bibitem[MP72]{Minsky1972}
\textsc{Minsky}, Marvin ; \textsc{Papert}, Seymour~A.:
\newblock \emph{Perceptrons}.
\newblock 2. print. with corr.
\newblock Cambridge/Mass. [u.a.] : The MIT Press, 1972. --
\newblock ISBN 9780262630221. --
\newblock Literaturangaben

\bibitem[MPF23]{Millevoi2023}
\textsc{Millevoi}, Caterina ; \textsc{Pasetto}, Damiano  ; \textsc{Ferronato},
  Massimiliano:
\newblock A Physics-Informed Neural Network approach for compartmental
  epidemiological models.
\newblock   (2023).
\newblock \url{http://dx.doi.org/10.48550/ARXIV.2311.09944}. --
\newblock DOI 10.48550/ARXIV.2311.09944

\bibitem[MZ20]{Maziarz2020}
\textsc{Maziarz}, Mariusz ; \textsc{Zach}, Martin:
\newblock Agent‐based modelling for SARS‐CoV‐2 epidemic prediction and
  intervention assessment: A methodological appraisal.
\newblock {In: }\emph{Journal of Evaluation in Clinical Practice} 26 (2020),
  August, Nr. 5, S. 1352--1360.
\newblock \url{http://dx.doi.org/10.1111/jep.13459}. --
\newblock DOI 10.1111/jep.13459. --
\newblock ISSN 1365--2753

\bibitem[OKF21]{Olumoyin2021}
\textsc{Olumoyin}, K.~D. ; \textsc{Khaliq}, A. Q.~M.  ; \textsc{Furati}, K.~M.:
\newblock Data-Driven Deep-Learning Algorithm for Asymptomatic COVID-19 Model
  with Varying Mitigation Measures and Transmission Rate.
\newblock {In: }\emph{Epidemiologia} 2 (2021), September, Nr. 4, S. 471--489.
\newblock \url{http://dx.doi.org/10.3390/epidemiologia2040033}. --
\newblock DOI 10.3390/epidemiologia2040033. --
\newblock ISSN 2673--3986

\bibitem[Oks00]{Oksendal2000}
\textsc{Oksendal}, Bernt:
\newblock \emph{Stochastic Differential Equations}.
\newblock 5th ed.
\newblock Berlin, Heidelberg : Springer Berlin / Heidelberg, 2000 (Universitext
  Ser.). --
\newblock ISBN 3--540--63720--6. --
\newblock Description based on publisher supplied metadata and other sources.

\bibitem[RHW86]{Rumelhart1986}
\textsc{Rumelhart}, David~E. ; \textsc{Hinton}, Geoffrey~E.  ;
  \textsc{Williams}, Ronald~J.:
\newblock Learning representations by back-propagating errors.
\newblock {In: }\emph{Nature} 323 (1986), Oktober, Nr. 6088, S. 533--536.
\newblock \url{http://dx.doi.org/10.1038/323533a0}. --
\newblock DOI 10.1038/323533a0. --
\newblock ISSN 1476--4687

\bibitem[Ros58]{Rosenblatt1958}
\textsc{Rosenblatt}, F.:
\newblock The perceptron: A probabilistic model for information storage and
  organization in the brain.
\newblock {In: }\emph{Psychological Review} 65 (1958), Nr. 6, S. 386--408.
\newblock \url{http://dx.doi.org/10.1037/h0042519}. --
\newblock DOI 10.1037/h0042519. --
\newblock ISSN 0033--295X

\bibitem[RPK17]{Raissi2017}
\textsc{Raissi}, Maziar ; \textsc{Perdikaris}, Paris  ; \textsc{Karniadakis},
  George~E.:
\newblock \emph{Physics Informed Deep Learning (Part I): Data-driven Solutions
  of Nonlinear Partial Differential Equations}

\bibitem[Rud07]{Rudin2007}
\textsc{Rudin}, Walter:
\newblock \emph{Analysis}.
\newblock Oldenbourg Wissenschaftsverlag GmbH, 2007

\bibitem[Sch26]{Schroedinger1926}
\textsc{Schrödinger}, E.:
\newblock An Undulatory Theory of the Mechanics of Atoms and Molecules.
\newblock {In: }\emph{Physical Review} 28 (1926), Dezember, Nr. 6, S.
  1049--1070.
\newblock \url{http://dx.doi.org/10.1103/physrev.28.1049}. --
\newblock DOI 10.1103/physrev.28.1049. --
\newblock ISSN 0031--899X

\bibitem[SdC17]{Smirnova2017}
\textsc{Smirnova}, Alexandra ; \textsc{deCamp}, Linda  ; \textsc{Chowell},
  Gerardo:
\newblock Forecasting Epidemics Through Nonparametric Estimation of
  Time-Dependent Transmission Rates Using the SEIR Model.
\newblock {In: }\emph{Bulletin of Mathematical Biology} 81 (2017), Mai, Nr. 11,
  S. 4343--4365.
\newblock \url{http://dx.doi.org/10.1007/s11538-017-0284-3}. --
\newblock DOI 10.1007/s11538--017--0284--3. --
\newblock ISSN 1522--9602

\bibitem[SH23]{Setianto2023}
\textsc{Setianto}, Setianto ; \textsc{Hidayat}, Darmawan:
\newblock Modeling the time-dependent transmission rate using gaussian pulses
  for analyzing the COVID-19 outbreaks in the world.
\newblock {In: }\emph{Scientific Reports} 13 (2023), M{\^^b a}rz, Nr. 1.
\newblock \url{http://dx.doi.org/10.1038/s41598-023-31714-5}. --
\newblock DOI 10.1038/s41598--023--31714--5. --
\newblock ISSN 2045--2322

\bibitem[SRS21]{Shaier2021}
\textsc{Shaier}, Sagi ; \textsc{Raissi}, Maziar  ; \textsc{Seshaiyer},
  Padmanabhan:
\newblock \emph{Data-driven approaches for predicting spread of infectious
  diseases through DINNs: Disease Informed Neural Networks}

\bibitem[TP85]{Tenenbaum1985}
\textsc{Tenenbaum}, Morris ; \textsc{Pollard}, Harry:
\newblock \emph{Ordinary Differential Equations}.
\newblock Harper and Row, Publishers, Inc., 1985

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