Academic literature on the topic 'SIR model'

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Journal articles on the topic "SIR model"

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Dönges, Philipp, Thomas Götz, Nataliia Kruchinina, et al. "SIR Model for Households." SIAM Journal on Applied Mathematics 84, no. 4 (2024): 1460–81. http://dx.doi.org/10.1137/23m1556861.

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Tchuenche, Jean M. "A $$\textit{SIR}$$ SIR epidemic model with incubation period." Afrika Matematika 26, no. 1-2 (2013): 77–85. http://dx.doi.org/10.1007/s13370-013-0189-8.

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Marline, Ilha da Silva, Chaves Marques Joice, Otazu Conza Adelaida, De Cezaro Adriano, and Carla Ferreira Nicola Gomes Ana. "The Stiffness Phenomena for the Epidemiological SIR Model: a Numerical Approach." Latin-American Journal of Computing 10, no. 2 (2023): 32–45. https://doi.org/10.5281/zenodo.8067335.

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Mathematical models are among the most successful strategies for predicting the dynamics of a disease spreading in a population. Among them, the so-called compartmental models, where the total population is proportionally divided into compartments, are widely used. The SIR model (Susceptible-Infected-Recovered) is one of them, where the dynamics between the compartments follows a system of nonlinear differential equations. As a result of the non-linearity of the dynamics, it has no analytical solution. Therefore, some numerical methods must be used to obtain an approximate solution. In this co
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Johnny, Luís Mércuri, Elis Machiavelli do Carmo Maria, Messias da Silva Almiria, and Tadach Araujo de Oliveira Hammhwygem. "O MODELO COMPARTIMENTAL SIR E UMA APLICAÇÃO PARA OS CASOS DE COVID-19 NA REGIÃO SUDESTE BRASILEIRA." Revistaft 28, no. 133 (2024): 38. https://doi.org/10.5281/zenodo.11103838.

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Neste artigo &eacute; apresentado um estudo sobre o n&uacute;mero de casos de pessoas infectadas pela COVID-19 na regi&atilde;o sudeste brasileira no ano de 2024. Para tal, buscou-se analisar o n&uacute;mero de casos de pessoas infectadas em toda regi&atilde;o sudeste nas nove primeiras semanas epidemiol&oacute;gicas e com base nos resultados obtidos, aplicar o modelo compartimental&nbsp;<em>SIR&nbsp;</em>(suscet&iacute;veis &ndash; infectados &ndash; recuperados) e gerar algumas curvas ao fixar a taxa de recupera&ccedil;&atilde;o e variar a taxa de infec&ccedil;&atilde;o para alguns valores,
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Kaddar, Abdelilah, Abdelhadi Abta, and Hamad Talibi Alaoui. "A comparison of delayed SIR and SEIR epidemic models." Nonlinear Analysis: Modelling and Control 16, no. 2 (2011): 181–90. http://dx.doi.org/10.15388/na.16.2.14104.

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In epidemiological research literatures, a latent or incubation period can be medelled by incorporating it as a delay effect (delayed SIR models), or by introducing an exposed class (SEIR models). In this paper we propose a comparison of a delayed SIR model and its corresponding SEIR model in terms of local stability. Also some numerical simulations are given to illustrate the theoretical results.
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TAMAI, Seiichiro. "The New Intellectual Property Management Model (SIR Model)." Journal of the Surface Finishing Society of Japan 65, no. 5 (2014): 200–206. http://dx.doi.org/10.4139/sfj.65.200.

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Switkes, Jennifer. "A Modified Discrete SIR Model." College Mathematics Journal 34, no. 5 (2003): 399. http://dx.doi.org/10.2307/3595827.

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Imane, El Berrai, Bouyaghroumni Jamal, Namir Abdelouahed, and Ezzbady Souad. "Stochastic study for SIR model." Applied Mathematical Sciences 8 (2014): 405–13. http://dx.doi.org/10.12988/ams.2014.311643.

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Tornatore, Elisabetta, and Stefania Maria Buccellato. "On a stochastic SIR model." Applicationes Mathematicae 34, no. 4 (2007): 389–400. http://dx.doi.org/10.4064/am34-4-2.

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Satsuma, J., R. Willox, A. Ramani, B. Grammaticos, and A. S. Carstea. "Extending the SIR epidemic model." Physica A: Statistical Mechanics and its Applications 336, no. 3-4 (2004): 369–75. http://dx.doi.org/10.1016/j.physa.2003.12.035.

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Dissertations / Theses on the topic "SIR model"

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Umar, Abdulkarim Mallam. "Stochastic SIR household epidemic model with misclassification." Thesis, University of Kent, 2016. https://kar.kent.ac.uk/62476/.

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Silva, Renato Aparecido Pimentel da. "Emprego de redes complexas no estudo das relações entre morfologia individual, topologia global e aspectos dinâmicos em neurociência." Universidade de São Paulo, 2012. http://www.teses.usp.br/teses/disponiveis/76/76132/tde-21082012-151906/.

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A teoria de redes complexas se consolidou nos últimos anos, graças ao seu potencial como ferramenta versátil no estudo de diversos sistemas discretos. É possível enumerar aplicações em áreas tão distintas como engenharia, sociologia, computação, linguística e biologia. Tem merecido atenção, por exemplo, o estudo da organização estrutural do cérebro, tanto em nível microscópico (em nível de neurônios) como regional (regiões corticais). Acredita-se que tal organização visa otimizar a dinâmica, favorecendo processos como sincronização e processamento paralelo. Estrutura e funcionamento, portanto,
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Almeida, Priscila Roque de. "Modelos epidêmicos SIR, contínuos e discretos, e estratégias de vacinação." Universidade Federal de Viçosa, 2014. http://locus.ufv.br/handle/123456789/4933.

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Made available in DSpace on 2015-03-26T13:45:37Z (GMT). No. of bitstreams: 1 texto completo.pdf: 877652 bytes, checksum: f2e3fa6c671a58cfbde6e8941666e966 (MD5) Previous issue date: 2014-02-21<br>Coordenação de Aperfeiçoamento de Pessoal de Nível Superior<br>The main Objective Of this Work is to study and discretize the epidemic SIR model (Susceptible-Infected-Recovered) developed by Kermack and MCKendrick in 1927 [11], between its Consider the simple models With Vital dynamics and Constant and Vaccination strategies pulses, as a method Of epidemic ControL The study of the stability of Contin
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Balkew, Teshome Mogessie. "The SIR Model When S(t) is a Multi-Exponential Function." Digital Commons @ East Tennessee State University, 2010. https://dc.etsu.edu/etd/1747.

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The SIR can be expressed either as a system of nonlinear ordinary differential equations or as a nonlinear Volterra integral equation. In general, neither of these can be solved in closed form. In this thesis, it is shown that if we assume S(t) is a finite multi-exponential, i.e. function of the form S(t) = a+ ∑nk=1 rke-σkt or a logistic function which is an infinite-multi-exponential, i.e. function of the form S(t) = c + a/b+ewt, then we can have closed form solution. Also we will formulate a method to determine R0 the basic reproductive rate of an infection.
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Lora, Marissa Rose. "Modeling Alcohol Abuse Patterns in Hispanic-American Populations Using an SIR Model." University of Akron / OhioLINK, 2011. http://rave.ohiolink.edu/etdc/view?acc_num=akron1302641058.

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Vereen, Kalimah. "An SCIR Model of Meningococcal Meningitis." VCU Scholars Compass, 2008. http://scholarscompass.vcu.edu/etd/710.

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A model for meningitis is developed by adding a class of carriers to the basic SIR model. This model is used to analyze the impact a vaccination program can have on the health of the population of epidemic prone countries. Analysis of the model shows the local stability of the disease free equilibrium, the existence of an endemic equilibrium and computation of the reproduction number, ℜ0 . Using a MATLAB program we simulate a time course of the model using parameters gathered from the World Health Organization. The numerical solution demonstrates that our reproduction number was correct. We th
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Henry, Courtney. "Population Based Model of Gonorrhea and Interventions Against Increased Antibiotic Resistance." VCU Scholars Compass, 2012. http://scholarscompass.vcu.edu/etd/2784.

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Gonnorrhea is an infectious sexually transmitted disease (STD) caused by the bacterium Neisseria gonorrhoeae that commonly reproduces in the reproductive tract.The Centers of Disease Control and Prevention (CDC) estimate that more than 700,000 individuals in the U.S. contract new gonorrheal infections per year. During recent years, there has been a progressive global increase of drug-resistant strains of gonorrhea. Therefore, there exists the necessity for health organizations to encourage the monitoring, research and development of innovative treatment regimens. We have developed multiple mat
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Medlock, Jan P. "The effect of stochastic migration on an SIR model for the transmission of HIV." Thesis, Georgia Institute of Technology, 1999. http://hdl.handle.net/1853/30547.

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Nusbacher, Aryeh J. S. "The triple thread : supply of victuals to the army under Sir Thomas Fairfax 1645-1646." Thesis, University of Oxford, 2001. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.391170.

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Zhuang, Lili. "Bayesian Dynamical Modeling of Count Data." The Ohio State University, 2011. http://rave.ohiolink.edu/etdc/view?acc_num=osu1315949027.

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Books on the topic "SIR model"

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Hellwig, Marcus. The Probabilistic SIR Model (PSIR) in the Pandemic Process. Springer Nature Switzerland, 2023. http://dx.doi.org/10.1007/978-3-031-31190-1.

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Saxena, Rahul, Mahipal Jadeja, and Vikrant Bhateja. Exploring Susceptible-Infectious-Recovered (SIR) Model for COVID-19 Investigation. Springer Nature Singapore, 2022. http://dx.doi.org/10.1007/978-981-19-4175-7.

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Kazar, Baris M., and Mete Celik. Spatial AutoRegression (SAR) Model. Springer US, 2012. http://dx.doi.org/10.1007/978-1-4614-1842-9.

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Hellwig, Marcus. SIR - Modell durch eine neue Dichte unterstützt. Springer Fachmedien Wiesbaden, 2022. http://dx.doi.org/10.1007/978-3-658-36476-2.

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Hellwig, Marcus. Das probabilistische SIR-Modell (PSIR) im Pandemieprozess. Springer Fachmedien Wiesbaden, 2022. http://dx.doi.org/10.1007/978-3-658-39596-4.

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Montesinos, Gustavo. Un general sin modelo. Núcleo del Azuay de la Casa de la Cultura Ecuatoriana, 2004.

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Mete, Celik, and SpringerLink (Online service), eds. Spatial AutoRegression (SAR) Model: Parameter Estimation Techniques. Springer US, 2012.

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D, Kiser James, Sanders William A, and United States. National Aeronautics and Space Administration., eds. A sintering model for SiCw/SiN composites. National Aeronautics and Space Administration, 1988.

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O, Si-rim. Sin Saimdang: Hanʾguk yŏsŏng ŭi taepʻyojŏk chisŏng inkyŏkchŏk model, Sin Saimdang ŭi sam. Minsŏngsa, 1992.

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Souza, Ismara Izepe de. República espanhola: Um modelo a ser evitado. Arquivo do Estado, 2002.

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Book chapters on the topic "SIR model"

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Hens, Niel, Ziv Shkedy, Marc Aerts, Christel Faes, Pierre Van Damme, and Philippe Beutels. "The SIR Model." In Statistics for Biology and Health. Springer New York, 2012. http://dx.doi.org/10.1007/978-1-4614-4072-7_3.

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Dykas, Paweł, Tomasz Tokarski, and Rafał Wisła. "SIR-Solow model." In The Solow Model of Economic Growth. Routledge, 2022. http://dx.doi.org/10.4324/9781003323792-11.

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Liu, Xinzhi, and Peter Stechlinski. "The Switched SIR Model." In Infectious Disease Modeling. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-53208-0_3.

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Pfaff, Thomas J. "Differential Equations - SIR Model." In Applied Calculus with R. Springer International Publishing, 2023. http://dx.doi.org/10.1007/978-3-031-28571-4_26.

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Kuhl, Ellen. "The computational SIR model." In Computational Epidemiology. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-82890-5_6.

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Kuhl, Ellen. "The classical SIR model." In Computational Epidemiology. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-82890-5_3.

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Inaba, Hisashi. "Age-Structured SIR Epidemic Model." In Age-Structured Population Dynamics in Demography and Epidemiology. Springer Singapore, 2017. http://dx.doi.org/10.1007/978-981-10-0188-8_6.

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Andersson, Håkan, and Tom Britton. "The standard SIR epidemic model." In Stochastic Epidemic Models and Their Statistical Analysis. Springer New York, 2000. http://dx.doi.org/10.1007/978-1-4612-1158-7_2.

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Patibandla, Venkata Lohith Kumar, Shalini Patibandla, and M. Saravanan. "Epidemic Outbreak Prediction Using SIR Model." In Communications in Computer and Information Science. Springer Nature Switzerland, 2024. http://dx.doi.org/10.1007/978-3-031-75957-4_11.

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Heidrich, Peter, and Thomas Götz. "Modelling Dengue with the SIR Model." In Progress in Industrial Mathematics at ECMI 2018. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-27550-1_22.

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Conference papers on the topic "SIR model"

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Wang, Hai, Shuo Ji, Mingyuan Hao, and Guodong Xu. "Protection of User Sensitive Information Based on SIR Model." In 2024 Twelfth International Conference on Advanced Cloud and Big Data (CBD). IEEE, 2024. https://doi.org/10.1109/cbd65573.2024.00044.

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Ge, Qing, Chen Huang, Huiling Xu, Jun Zhang, and Haixia Wang. "A Novel SIR Model-Based Public Opinion Propagation and Optimal Control." In 2024 China Automation Congress (CAC). IEEE, 2024. https://doi.org/10.1109/cac63892.2024.10865290.

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Eshmamatova, Dilfuza B. "Discrete analogue of the SIR model." In NOVEL TRENDS IN RHEOLOGY IX. AIP Publishing, 2023. http://dx.doi.org/10.1063/5.0144884.

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De Cuypere, E., K. De Turck, S. Wittevrongel, and D. Fiems. "Markovian SIR model for opinion propagation." In 2013 25th International Teletraffic Congress (ITC 2013). IEEE, 2013. http://dx.doi.org/10.1109/itc.2013.6662953.

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Zhang, Ciyuan, Sebin Gracy, Tamer Basar, and Philip E. Pare. "Networked Competitive Multi-Virus SIR Model." In 2022 American Control Conference (ACC). IEEE, 2022. http://dx.doi.org/10.23919/acc53348.2022.9867495.

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Yang, Guang. "Optimal control for an SIR epidemic model." In 2011 23rd Chinese Control and Decision Conference (CCDC). IEEE, 2011. http://dx.doi.org/10.1109/ccdc.2011.5968235.

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Mudesir, Abdurazak, and Harald Haas. "Analytical SIR for cross layer channel model." In 2008 IEEE 19th International Symposium on Personal, Indoor and Mobile Radio Communications (PIMRC). IEEE, 2008. http://dx.doi.org/10.1109/pimrc.2008.4699518.

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Dos Santos, José Paulo Carvalho, Evandro Monteiro, and Gustavo Borges Vieira. "Global stability of fractional SIR epidemic model." In CNMAC 2016 - XXXVI Congresso Nacional de Matemática Aplicada e Computacional. SBMAC, 2017. http://dx.doi.org/10.5540/03.2017.005.01.0019.

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Zhang, Jin-Zhu, Jian-Jun Wang, and Tie-Xiong Su. "Bifurcation analysis of a delayed SIR model." In 2010 International Conference on Computer Application and System Modeling (ICCASM 2010). IEEE, 2010. http://dx.doi.org/10.1109/iccasm.2010.5622417.

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Zhang, Jin-Zhu, Jian-Jun Wang, Tie-Xiong Su, and Zhen Jin. "Analysis of a Delayed SIR Epidemic Model." In 2010 International Conference on Computational Aspects of Social Networks (CASoN 2010). IEEE, 2010. http://dx.doi.org/10.1109/cason.2010.50.

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Reports on the topic "SIR model"

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Acemoglu, Daron, Victor Chernozhukov, Iván Werning, and Michael Whinston. Optimal Targeted Lockdowns in a Multi-Group SIR Model. National Bureau of Economic Research, 2020. http://dx.doi.org/10.3386/w27102.

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Whinston, Michael D., Ivàn Werning, Victor Chernozhukov, and Daron Acemoglu. A Multi-Risk SIR Model with Optimally Targeted Lockdown. The IFS, 2020. http://dx.doi.org/10.1920/wp.cem.2020.1420.

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Atkeson, Andrew, Karen Kopecky, and Tao Zha. Estimating and Forecasting Disease Scenarios for COVID-19 with an SIR Model. National Bureau of Economic Research, 2020. http://dx.doi.org/10.3386/w27335.

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Bisin, Alberto, and Andrea Moro. Learning Epidemiology by Doing: The Empirical Implications of a Spatial-SIR Model with Behavioral Responses. National Bureau of Economic Research, 2020. http://dx.doi.org/10.3386/w27590.

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Forero-Alvarado, Santiago, Nicolás Moreno-Arias, and Juan J. Ospina-Tejeiro. Humans Against Virus or Humans Against Humans: A Game Theory Approach to the COVID-19 Pandemic. Banco de la República, 2021. http://dx.doi.org/10.32468/be.1160.

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Externalities and private information are key characteristics of an epidemic like the Covid-19 pandemic. We study the welfare costs stemming from the incomplete information environment that these characteristics foster. We develop a framework that embeds a game theory approach into a macro SIR model to analyze the role of information in determining the extent of the health-economy trade-off of a pandemic. We apply the model to the Covid-19 epidemic in the US and find that the costs of keeping health information private are between USD $5.9$ trillion and USD $6.7$ trillion. We then find an opti
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Dudley, J. P., and S. V. Samsonov. SAR interferometry with the RADARSAT Constellation Mission. Natural Resources Canada/CMSS/Information Management, 2022. http://dx.doi.org/10.4095/329396.

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The RADARSAT Constellation Mission (RCM) is Canada's latest system of C-band Synthetic Aperture Radar (SAR) Earth observation satellites. The system of three satellites, spaced equally in a common orbit, allows for a rapid four-day repeat interval. The RCM has been designed with a selection of stripmap, spotlight, and ScanSAR beam modes which offer varied combinations of spatial resolution and coverage. Using Differential Interferometric Synthetic Aperture Radar (DInSAR) techniques, the growing archive of SAR data gathered by RCM can be used for change detection and ground deformation monitori
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Ellison, Glenn. Implications of Heterogeneous SIR Models for Analyses of COVID-19. National Bureau of Economic Research, 2020. http://dx.doi.org/10.3386/w27373.

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Bettin, Giorgia, David Lord, and David Keith Rudeen. SPR Hydrostatic Column Model Verification and Validation. Office of Scientific and Technical Information (OSTI), 2015. http://dx.doi.org/10.2172/1235644.

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Carroll, J., and J. D. Abraham. Sediment isotope tomography (SIT) model version 1. Office of Scientific and Technical Information (OSTI), 1996. http://dx.doi.org/10.2172/272555.

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Lunsford, Kurt G., and Kenneth D. West. An Empirical Evaluation of Some Long-Horizon Macroeconomic Forecasts. Federal Reserve Bank of Cleveland, 2024. http://dx.doi.org/10.26509/frbc-wp-202420.

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We use long-run annual cross-country data for 10 macroeconomic variables to evaluate the long-horizon forecast distributions of six forecasting models. The variables we use range from ones having little serial correlation to ones having persistence consistent with unit roots. Our forecasting models include simple time series models and frequency domain models developed in Müller and Watson (2016). For plausibly stationary variables, an AR(1) model and a frequency domain model that does not require the user to take a stand on the order of integration appear reasonably well calibrated for foreca
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