\newcommand{\etalchar}[1]{$^{#1}$} \begin{thebibliography}{KSM{\etalchar{+}}21} % this bibliography is generated by alphadin.bst [8.2] from 2005-12-21 \providecommand{\url}[1]{\texttt{#1}} \expandafter\ifx\csname urlstyle\endcsname\relax \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 \end{thebibliography}